1,297,773

3² × 41 × 3517

1,297,773 factors as 3^2 × 41 × 3517. Its 12 positive divisors give a proper-divisor sum of 623,055, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 3517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,920,828

Proper Divisor Sum 623,055

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1297771 ← → #1297781

Radix Representation

Decimal	1297773
Binary	100111100110101101101 (21 bits)
Octal	0o4746555
Hexadecimal	0x13CD6D

Divisor Catalog (12)

1 3 9 41 123 369 3,517 10,551 31,653 144,197 432,591 1,297,773

Collatz Trajectory (204 steps to reach 1)

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

1,297,773 3,893,320 1,946,660 973,330 486,665 1,459,996 729,998 364,999 1,094,998 547,499 1,642,498 821,249 2,463,748 1,231,874 615,937 1,847,812 923,906 461,953 1,385,860 692,930 346,465 1,039,396 519,698 259,849 779,548 389,774 194,887 584,662 292,331 876,994 438,497 1,315,492 657,746 328,873 986,620 493,310 246,655 739,966 369,983 1,109,950 554,975 1,664,926 832,463 2,497,390 1,248,695 3,746,086 1,873,043 5,619,130 2,809,565 8,428,696 4,214,348 2,107,174 1,053,587 3,160,762 1,580,381 4,741,144 2,370,572 1,185,286 592,643 1,777,930

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