350,451

3² × 23 × 1693

350,451 factors as 3^2 × 23 × 1693. Its 12 positive divisors give a proper-divisor sum of 178,077, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 1693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 528,528

Proper Divisor Sum 178,077

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #350447 ← → #350453

Radix Representation

Decimal	350451
Binary	1010101100011110011 (19 bits)
Octal	0o1254363
Hexadecimal	0x558F3

Divisor Catalog (12)

1 3 9 23 69 207 1,693 5,079 15,237 38,939 116,817 350,451

Collatz Trajectory (104 steps to reach 1)

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

350,451 1,051,354 525,677 1,577,032 788,516 394,258 197,129 591,388 295,694 147,847 443,542 221,771 665,314 332,657 997,972 498,986 249,493 748,480 374,240 187,120 93,560 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224

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