356,100

2² × 3 × 5² × 1187

356,100 factors as 2^2 × 3 × 5^2 × 1187. Its 36 positive divisors give a proper-divisor sum of 675,084, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 1187

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,031,184

Proper Divisor Sum 675,084

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #356093 ← → #356101

Radix Representation

Decimal	356100
Binary	1010110111100000100 (19 bits)
Octal	0o1267404
Hexadecimal	0x56F04

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1,187 2,374 3,561 4,748 5,935 7,122 11,870 14,244 17,805 23,740 29,675 35,610 59,350 71,220 89,025 118,700 178,050 356,100

Collatz Trajectory (73 steps to reach 1)

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

356,100 178,050 89,025 267,076 133,538 66,769 200,308 100,154 50,077 150,232 75,116 37,558 18,779 56,338 28,169 84,508 42,254 21,127 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11

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