72,872,134

2 × 31 × 241 × 4877

72,872,134 factors as 2 × 31 × 241 × 4877. Its 16 positive divisors give a proper-divisor sum of 40,453,562, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 31 × 241 × 4877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 113,325,696

Proper Divisor Sum 40,453,562

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #72872131 ← → #72872141

Radix Representation

Decimal	72872134
Binary	100010101111111000011000110 (27 bits)
Octal	0o425770306
Hexadecimal	0x457F0C6

Divisor Catalog (16)

1 2 31 62 241 482 4,877 7,471 9,754 14,942 151,187 302,374 1,175,357 2,350,714 36,436,067 72,872,134

Collatz Trajectory (166 steps to reach 1)

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

72,872,134 36,436,067 109,308,202 54,654,101 163,962,304 81,981,152 40,990,576 20,495,288 10,247,644 5,123,822 2,561,911 7,685,734 3,842,867 11,528,602 5,764,301 17,292,904 8,646,452 4,323,226 2,161,613 6,484,840 3,242,420 1,621,210 810,605 2,431,816 1,215,908 607,954 303,977 911,932 455,966 227,983 683,950 341,975 1,025,926 512,963 1,538,890 769,445 2,308,336 1,154,168 577,084 288,542 144,271 432,814 216,407 649,222 324,611 973,834 486,917 1,460,752 730,376 365,188 182,594 91,297 273,892 136,946 68,473 205,420 102,710 51,355 154,066 77,033

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