356,128

2⁵ × 31 × 359

356,128 factors as 2^5 × 31 × 359. Its 24 positive divisors give a proper-divisor sum of 369,632, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^5 × 31 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 725,760

Proper Divisor Sum 369,632

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #356123 ← → #356129

Radix Representation

Decimal	356128
Binary	1010110111100100000 (19 bits)
Octal	0o1267440
Hexadecimal	0x56F20

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 359 496 718 992 1,436 2,872 5,744 11,129 11,488 22,258 44,516 89,032 178,064 356,128

Collatz Trajectory (73 steps to reach 1)

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

356,128 178,064 89,032 44,516 22,258 11,129 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 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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