872,157

3 × 11 × 13 × 19 × 107

872,157 factors as 3 × 11 × 13 × 19 × 107. Its 32 positive divisors give a proper-divisor sum of 579,363, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 19 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 579,363

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #872149 ← → #872159

Radix Representation

Decimal	872157
Binary	11010100111011011101 (20 bits)
Octal	0o3247335
Hexadecimal	0xD4EDD

Divisor Catalog (32)

1 3 11 13 19 33 39 57 107 143 209 247 321 429 627 741 1,177 1,391 2,033 2,717 3,531 4,173 6,099 8,151 15,301 22,363 26,429 45,903 67,089 79,287 290,719 872,157

Collatz Trajectory (95 steps to reach 1)

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

872,157 2,616,472 1,308,236 654,118 327,059 981,178 490,589 1,471,768 735,884 367,942 183,971 551,914 275,957 827,872 413,936 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536

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