λ
Integer Codex

157,175

52 × 6287
Deficient Odd Composite

For 157,175, the 6 positive divisors have a total of 194,928. Removing 157,175 leaves 37,753, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 6287
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 194,928
Proper Divisor Sum 37,753
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #157163 ← → #157177

Radix Representation

Decimal 157175
Binary 100110010111110111 (18 bits)
Octal 0o462767
Hexadecimal 0x265F7

Divisor Catalog (6)

1 5 25 6,287 31,435 157,175

Collatz Trajectory (108 steps to reach 1)

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

157,175 471,526 235,763 707,290 353,645 1,060,936 530,468 265,234 132,617 397,852 198,926 99,463 298,390 149,195 447,586 223,793 671,380 335,690 167,845 503,536 251,768 125,884 62,942 31,471 94,414 47,207 141,622 70,811 212,434 106,217 318,652 159,326 79,663 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237 453,712 226,856 113,428 56,714 28,357 85,072 42,536 21,268 10,634 5,317 15,952 7,976 3,988 1,994 997

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