9,984,759

3 × 31 × 101 × 1063

9,984,759 has digital root 6. The neighboring primes are 9984757 and 9984761; its proper-divisor sum differs from the starting integer by -6,077,934.

Prime Factor Structure

Factorization String 3 × 31 × 101 × 1063

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,891,584

Proper Divisor Sum 3,906,825

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9984757 ← → #9984761

Radix Representation

Decimal	9984759
Binary	100110000101101011110111 (24 bits)
Octal	0o46055367
Hexadecimal	0x985AF7

Divisor Catalog (16)

1 3 31 93 101 303 1,063 3,131 3,189 9,393 32,953 98,859 107,363 322,089 3,328,253 9,984,759

Collatz Trajectory (176 steps to reach 1)

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

9,984,759 29,954,278 14,977,139 44,931,418 22,465,709 67,397,128 33,698,564 16,849,282 8,424,641 25,273,924 12,636,962 6,318,481 18,955,444 9,477,722 4,738,861 14,216,584 7,108,292 3,554,146 1,777,073 5,331,220 2,665,610 1,332,805 3,998,416 1,999,208 999,604 499,802 249,901 749,704 374,852 187,426 93,713 281,140 140,570 70,285 210,856 105,428 52,714 26,357 79,072 39,536 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760

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