721,114

2 × 29 × 12433

721,114 factors as 2 × 29 × 12433. Its 8 positive divisors give a proper-divisor sum of 397,946, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 29 × 12433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,119,060

Proper Divisor Sum 397,946

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #721111 ← → #721117

Radix Representation

Decimal	721114
Binary	10110000000011011010 (20 bits)
Octal	0o2600332
Hexadecimal	0xB00DA

Divisor Catalog (8)

1 2 29 58 12,433 24,866 360,557 721,114

Collatz Trajectory (167 steps to reach 1)

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

721,114 360,557 1,081,672 540,836 270,418 135,209 405,628 202,814 101,407 304,222 152,111 456,334 228,167 684,502 342,251 1,026,754 513,377 1,540,132 770,066 385,033 1,155,100 577,550 288,775 866,326 433,163 1,299,490 649,745 1,949,236 974,618 487,309 1,461,928 730,964 365,482 182,741 548,224 274,112 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576

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