723,367

17² × 2503

723,367 factors as 17^2 × 2503. Its 6 positive divisors give a proper-divisor sum of 45,361, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 17^2 × 2503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 768,728

Proper Divisor Sum 45,361

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #723361 ← → #723379

Radix Representation

Decimal	723367
Binary	10110000100110100111 (20 bits)
Octal	0o2604647
Hexadecimal	0xB09A7

Divisor Catalog (6)

1 17 289 2,503 42,551 723,367

Collatz Trajectory (66 steps to reach 1)

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

723,367 2,170,102 1,085,051 3,255,154 1,627,577 4,882,732 2,441,366 1,220,683 3,662,050 1,831,025 5,493,076 2,746,538 1,373,269 4,119,808 2,059,904 1,029,952 514,976 257,488 128,744 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 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

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