15,106,672

2⁴ × 7 × 19 × 31 × 229

15,106,672 factors as 2^4 × 7 × 19 × 31 × 229. Its 80 positive divisors give a proper-divisor sum of 21,398,928, so this integer is abundant. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 31 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 36,505,600

Proper Divisor Sum 21,398,928

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #15106667 ← → #15106681

Radix Representation

Decimal	15106672
Binary	111001101000001001110000 (24 bits)
Octal	0o71501160
Hexadecimal	0xE68270

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 229 248 266 304 434 458 496 532 589 868 916 1,064 1,178 1,603 1,736 1,832 2,128 2,356 3,206 3,472 3,664 4,123 4,351 4,712 6,412 7,099 8,246 8,702 9,424 12,824 14,198 16,492 17,404 25,648 28,396 30,457 32,984 34,808 49,693 56,792 60,914

Collatz Trajectory (267 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

15,106,672 7,553,336 3,776,668 1,888,334 944,167 2,832,502 1,416,251 4,248,754 2,124,377 6,373,132 3,186,566 1,593,283 4,779,850 2,389,925 7,169,776 3,584,888 1,792,444 896,222 448,111 1,344,334 672,167 2,016,502 1,008,251 3,024,754 1,512,377 4,537,132 2,268,566 1,134,283 3,402,850 1,701,425 5,104,276 2,552,138 1,276,069 3,828,208 1,914,104 957,052 478,526 239,263 717,790 358,895 1,076,686 538,343 1,615,030 807,515 2,422,546 1,211,273 3,633,820 1,816,910 908,455 2,725,366 1,362,683 4,088,050 2,044,025 6,132,076 3,066,038 1,533,019 4,599,058 2,299,529 6,898,588 3,449,294

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #15,106,671 Browse Full Index Next Integer #15,106,673 →