λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,480,918

72,480,918

2 × 3 × 29 × 71 × 5867
Abundant Even Composite

72,480,918 factors as 2 × 3 × 29 × 71 × 5867. Its 32 positive divisors give a proper-divisor sum of 79,617,642, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 71 × 5867
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 152,098,560
Proper Divisor Sum 79,617,642
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #72480917 ← → #72480923

Radix Representation

Decimal 72480918
Binary 100010100011111100010010110 (27 bits)
Octal 0o424374226
Hexadecimal 0x451F896

Divisor Catalog (32)

1 2 3 6 29 58 71 87 142 174 213 426 2,059 4,118 5,867 6,177 11,734 12,354 17,601 35,202 170,143 340,286 416,557 510,429 833,114 1,020,858 1,249,671 2,499,342 12,080,153 24,160,306 36,240,459 72,480,918

Collatz Trajectory (290 steps to reach 1)

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

72,480,918 36,240,459 108,721,378 54,360,689 163,082,068 81,541,034 40,770,517 122,311,552 61,155,776 30,577,888 15,288,944 7,644,472 3,822,236 1,911,118 955,559 2,866,678 1,433,339 4,300,018 2,150,009 6,450,028 3,225,014 1,612,507 4,837,522 2,418,761 7,256,284 3,628,142 1,814,071 5,442,214 2,721,107 8,163,322 4,081,661 12,244,984 6,122,492 3,061,246 1,530,623 4,591,870 2,295,935 6,887,806 3,443,903 10,331,710 5,165,855 15,497,566 7,748,783 23,246,350 11,623,175 34,869,526 17,434,763 52,304,290 26,152,145 78,456,436 39,228,218 19,614,109 58,842,328 29,421,164 14,710,582 7,355,291 22,065,874 11,032,937 33,098,812 16,549,406

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #72,480,917 Browse Full Index Next Integer #72,480,919 →