4,136,072

2³ × 19 × 27211

4,136,072 factors as 2^3 × 19 × 27211. Its 16 positive divisors give a proper-divisor sum of 4,027,528, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 27211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,163,600

Proper Divisor Sum 4,027,528

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4136059 ← → #4136123

Radix Representation

Decimal	4136072
Binary	1111110001110010001000 (22 bits)
Octal	0o17616210
Hexadecimal	0x3F1C88

Divisor Catalog (16)

1 2 4 8 19 38 76 152 27,211 54,422 108,844 217,688 517,009 1,034,018 2,068,036 4,136,072

Collatz Trajectory (211 steps to reach 1)

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

4,136,072 2,068,036 1,034,018 517,009 1,551,028 775,514 387,757 1,163,272 581,636 290,818 145,409 436,228 218,114 109,057 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239

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