72,747,389

11 × 13 × 163 × 3121

72,747,389 factors as 11 × 13 × 163 × 3121. Its 16 positive divisors give a proper-divisor sum of 13,269,955, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 11 × 13 × 163 × 3121

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 86,017,344

Proper Divisor Sum 13,269,955

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #72747377 ← → #72747397

Radix Representation

Decimal	72747389
Binary	100010101100000100101111101 (27 bits)
Octal	0o425404575
Hexadecimal	0x456097D

Divisor Catalog (16)

1 11 13 143 163 1,793 2,119 3,121 23,309 34,331 40,573 446,303 508,723 5,595,953 6,613,399 72,747,389

Collatz Trajectory (215 steps to reach 1)

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

72,747,389 218,242,168 109,121,084 54,560,542 27,280,271 81,840,814 40,920,407 122,761,222 61,380,611 184,141,834 92,070,917 276,212,752 138,106,376 69,053,188 34,526,594 17,263,297 51,789,892 25,894,946 12,947,473 38,842,420 19,421,210 9,710,605 29,131,816 14,565,908 7,282,954 3,641,477 10,924,432 5,462,216 2,731,108 1,365,554 682,777 2,048,332 1,024,166 512,083 1,536,250 768,125 2,304,376 1,152,188 576,094 288,047 864,142 432,071 1,296,214 648,107 1,944,322 972,161 2,916,484 1,458,242 729,121 2,187,364 1,093,682 546,841 1,640,524 820,262 410,131 1,230,394 615,197 1,845,592 922,796 461,398

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 #72,747,388 Browse Full Index Next Integer #72,747,390 →