971,547

3 × 61 × 5309

971,547 factors as 3 × 61 × 5309. Its 8 positive divisors give a proper-divisor sum of 345,333, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 61 × 5309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,316,880

Proper Divisor Sum 345,333

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #971521 ← → #971549

Radix Representation

Decimal	971547
Binary	11101101001100011011 (20 bits)
Octal	0o3551433
Hexadecimal	0xED31B

Divisor Catalog (8)

1 3 61 183 5,309 15,927 323,849 971,547

Collatz Trajectory (152 steps to reach 1)

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

971,547 2,914,642 1,457,321 4,371,964 2,185,982 1,092,991 3,278,974 1,639,487 4,918,462 2,459,231 7,377,694 3,688,847 11,066,542 5,533,271 16,599,814 8,299,907 24,899,722 12,449,861 37,349,584 18,674,792 9,337,396 4,668,698 2,334,349 7,003,048 3,501,524 1,750,762 875,381 2,626,144 1,313,072 656,536 328,268 164,134 82,067 246,202 123,101 369,304 184,652 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974

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