4,131,013

37 × 311 × 359

4,131,013 factors as 37 × 311 × 359. Its 8 positive divisors give a proper-divisor sum of 137,147, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 37 × 311 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,268,160

Proper Divisor Sum 137,147

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4130977 ← → #4131031

Radix Representation

Decimal	4131013
Binary	1111110000100011000101 (22 bits)
Octal	0o17604305
Hexadecimal	0x3F08C5

Divisor Catalog (8)

1 37 311 359 11,507 13,283 111,649 4,131,013

Collatz Trajectory (167 steps to reach 1)

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

4,131,013 12,393,040 6,196,520 3,098,260 1,549,130 774,565 2,323,696 1,161,848 580,924 290,462 145,231 435,694 217,847 653,542 326,771 980,314 490,157 1,470,472 735,236 367,618 183,809 551,428 275,714 137,857 413,572 206,786 103,393 310,180 155,090 77,545 232,636 116,318 58,159 174,478 87,239 261,718 130,859 392,578 196,289 588,868 294,434 147,217 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203

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