36,929,169

3³ × 47 × 29101

36,929,169 factors as 3^3 × 47 × 29101. Its 16 positive divisors give a proper-divisor sum of 18,946,671, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^3 × 47 × 29101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 55,875,840

Proper Divisor Sum 18,946,671

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36929147 ← → #36929171

Radix Representation

Decimal	36929169
Binary	10001100110111111010010001 (26 bits)
Octal	0o214677221
Hexadecimal	0x2337E91

Divisor Catalog (16)

1 3 9 27 47 141 423 1,269 29,101 87,303 261,909 785,727 1,367,747 4,103,241 12,309,723 36,929,169

Collatz Trajectory (214 steps to reach 1)

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

36,929,169 110,787,508 55,393,754 27,696,877 83,090,632 41,545,316 20,772,658 10,386,329 31,158,988 15,579,494 7,789,747 23,369,242 11,684,621 35,053,864 17,526,932 8,763,466 4,381,733 13,145,200 6,572,600 3,286,300 1,643,150 821,575 2,464,726 1,232,363 3,697,090 1,848,545 5,545,636 2,772,818 1,386,409 4,159,228 2,079,614 1,039,807 3,119,422 1,559,711 4,679,134 2,339,567 7,018,702 3,509,351 10,528,054 5,264,027 15,792,082 7,896,041 23,688,124 11,844,062 5,922,031 17,766,094 8,883,047 26,649,142 13,324,571 39,973,714 19,986,857 59,960,572 29,980,286 14,990,143 44,970,430 22,485,215 67,455,646 33,727,823 101,183,470 50,591,735

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