15,212,240

2⁴ × 5 × 29 × 79 × 83

15,212,240 factors as 2^4 × 5 × 29 × 79 × 83. Its 80 positive divisors give a proper-divisor sum of 22,285,360, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 79 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 37,497,600

Proper Divisor Sum 22,285,360

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #15212237 ← → #15212243

Radix Representation

Decimal	15212240
Binary	111010000001111011010000 (24 bits)
Octal	0o72017320
Hexadecimal	0xE81ED0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 29 40 58 79 80 83 116 145 158 166 232 290 316 332 395 415 464 580 632 664 790 830 1,160 1,264 1,328 1,580 1,660 2,291 2,320 2,407 3,160 3,320 4,582 4,814 6,320 6,557 6,640 9,164 9,628 11,455 12,035 13,114 18,328 19,256 22,910 24,070 26,228 32,785 36,656 38,512 45,820 48,140

Collatz Trajectory (104 steps to reach 1)

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

15,212,240 7,606,120 3,803,060 1,901,530 950,765 2,852,296 1,426,148 713,074 356,537 1,069,612 534,806 267,403 802,210 401,105 1,203,316 601,658 300,829 902,488 451,244 225,622 112,811 338,434 169,217 507,652 253,826 126,913 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #15,212,239 Browse Full Index Next Integer #15,212,241 →