73,063,240

2³ × 5 × 59 × 83 × 373

73,063,240 factors as 2^3 × 5 × 59 × 83 × 373. Its 64 positive divisors give a proper-divisor sum of 96,583,160, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 83 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 169,646,400

Proper Divisor Sum 96,583,160

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #73063231 ← → #73063259

Radix Representation

Decimal	73063240
Binary	100010110101101101101001000 (27 bits)
Octal	0o426555510
Hexadecimal	0x45ADB48

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 59 83 118 166 236 295 332 373 415 472 590 664 746 830 1,180 1,492 1,660 1,865 2,360 2,984 3,320 3,730 4,897 7,460 9,794 14,920 19,588 22,007 24,485 30,959 39,176 44,014 48,970 61,918 88,028 97,940 110,035 123,836 154,795 176,056 195,880 220,070 247,672 309,590 440,140 619,180 880,280 1,238,360 1,826,581 3,653,162 7,306,324 9,132,905

Collatz Trajectory (135 steps to reach 1)

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

73,063,240 36,531,620 18,265,810 9,132,905 27,398,716 13,699,358 6,849,679 20,549,038 10,274,519 30,823,558 15,411,779 46,235,338 23,117,669 69,353,008 34,676,504 17,338,252 8,669,126 4,334,563 13,003,690 6,501,845 19,505,536 9,752,768 4,876,384 2,438,192 1,219,096 609,548 304,774 152,387 457,162 228,581 685,744 342,872 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #73,063,239 Browse Full Index Next Integer #73,063,241 →