1,296,743

7 × 17² × 641

1,296,743 factors as 7 × 17^2 × 641. Its 12 positive divisors give a proper-divisor sum of 280,009, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 7 × 17^2 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,576,752

Proper Divisor Sum 280,009

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1296727 ← → #1296749

Radix Representation

Decimal	1296743
Binary	100111100100101100111 (21 bits)
Octal	0o4744547
Hexadecimal	0x13C967

Divisor Catalog (12)

1 7 17 119 289 641 2,023 4,487 10,897 76,279 185,249 1,296,743

Collatz Trajectory (186 steps to reach 1)

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

1,296,743 3,890,230 1,945,115 5,835,346 2,917,673 8,753,020 4,376,510 2,188,255 6,564,766 3,282,383 9,847,150 4,923,575 14,770,726 7,385,363 22,156,090 11,078,045 33,234,136 16,617,068 8,308,534 4,154,267 12,462,802 6,231,401 18,694,204 9,347,102 4,673,551 14,020,654 7,010,327 21,030,982 10,515,491 31,546,474 15,773,237 47,319,712 23,659,856 11,829,928 5,914,964 2,957,482 1,478,741 4,436,224 2,218,112 1,109,056 554,528 277,264 138,632 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372

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