967,759

13 × 17 × 29 × 151

For 967,759, the 16 positive divisors have a total of 1,149,120. Removing 967,759 leaves 181,361, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 17 × 29 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,149,120

Proper Divisor Sum 181,361

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #967753 ← → #967763

Radix Representation

Decimal	967759
Binary	11101100010001001111 (20 bits)
Octal	0o3542117
Hexadecimal	0xEC44F

Divisor Catalog (16)

1 13 17 29 151 221 377 493 1,963 2,567 4,379 6,409 33,371 56,927 74,443 967,759

Collatz Trajectory (95 steps to reach 1)

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

967,759 2,903,278 1,451,639 4,354,918 2,177,459 6,532,378 3,266,189 9,798,568 4,899,284 2,449,642 1,224,821 3,674,464 1,837,232 918,616 459,308 229,654 114,827 344,482 172,241 516,724 258,362 129,181 387,544 193,772 96,886 48,443 145,330 72,665 217,996 108,998 54,499 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

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