100,349

23 × 4363

100,349 factors as 23 × 4363. Its 4 positive divisors give a proper-divisor sum of 4,387, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 23 × 4363

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 104,736

Proper Divisor Sum 4,387

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #100343 ← → #100357

Radix Representation

Decimal	100349
Binary	11000011111111101 (17 bits)
Octal	0o303775
Hexadecimal	0x187FD

Divisor Catalog (4)

1 23 4,363 100,349

Collatz Trajectory (89 steps to reach 1)

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

100,349 301,048 150,524 75,262 37,631 112,894 56,447 169,342 84,671 254,014 127,007 381,022 190,511 571,534 285,767 857,302 428,651 1,285,954 642,977 1,928,932 964,466 482,233 1,446,700 723,350 361,675 1,085,026 542,513 1,627,540 813,770 406,885 1,220,656 610,328 305,164 152,582 76,291 228,874 114,437 343,312 171,656 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820

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