13,147,120

2⁴ × 5 × 7 × 17 × 1381

13,147,120 factors as 2^4 × 5 × 7 × 17 × 1381. Its 80 positive divisors give a proper-divisor sum of 23,868,368, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 1381

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 37,015,488

Proper Divisor Sum 23,868,368

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #13147109 ← → #13147133

Radix Representation

Decimal	13147120
Binary	110010001001101111110000 (24 bits)
Octal	0o62115760
Hexadecimal	0xC89BF0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1,190 1,360 1,381 1,904 2,380 2,762 4,760 5,524 6,905 9,520 9,667 11,048 13,810 19,334 22,096 23,477 27,620 38,668 46,954 48,335 55,240 77,336 93,908 96,670 110,480 117,385

Collatz Trajectory (166 steps to reach 1)

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

13,147,120 6,573,560 3,286,780 1,643,390 821,695 2,465,086 1,232,543 3,697,630 1,848,815 5,546,446 2,773,223 8,319,670 4,159,835 12,479,506 6,239,753 18,719,260 9,359,630 4,679,815 14,039,446 7,019,723 21,059,170 10,529,585 31,588,756 15,794,378 7,897,189 23,691,568 11,845,784 5,922,892 2,961,446 1,480,723 4,442,170 2,221,085 6,663,256 3,331,628 1,665,814 832,907 2,498,722 1,249,361 3,748,084 1,874,042 937,021 2,811,064 1,405,532 702,766 351,383 1,054,150 527,075 1,581,226 790,613 2,371,840 1,185,920 592,960 296,480 148,240 74,120 37,060 18,530 9,265 27,796 13,898

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 #13,147,119 Browse Full Index Next Integer #13,147,121 →