172,013

37 × 4649

172,013 factors as 37 × 4649. Its 4 positive divisors give a proper-divisor sum of 4,687, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 37 × 4649

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 176,700

Proper Divisor Sum 4,687

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #172009 ← → #172021

Radix Representation

Decimal	172013
Binary	101001111111101101 (18 bits)
Octal	0o517755
Hexadecimal	0x29FED

Divisor Catalog (4)

1 37 4,649 172,013

Collatz Trajectory (196 steps to reach 1)

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

172,013 516,040 258,020 129,010 64,505 193,516 96,758 48,379 145,138 72,569 217,708 108,854 54,427 163,282 81,641 244,924 122,462 61,231 183,694 91,847 275,542 137,771 413,314 206,657 619,972 309,986 154,993 464,980 232,490 116,245 348,736 174,368 87,184 43,592 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551

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