8,792,379

3² × 173 × 5647

For 8,792,379, the 12 positive divisors have a total of 12,775,776. Removing 8,792,379 leaves 3,983,397, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 173 × 5647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,775,776

Proper Divisor Sum 3,983,397

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8792351 ← → #8792387

Radix Representation

Decimal	8792379
Binary	100001100010100100111011 (24 bits)
Octal	0o41424473
Hexadecimal	0x86293B

Divisor Catalog (12)

1 3 9 173 519 1,557 5,647 16,941 50,823 976,931 2,930,793 8,792,379

Collatz Trajectory (62 steps to reach 1)

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

8,792,379 26,377,138 13,188,569 39,565,708 19,782,854 9,891,427 29,674,282 14,837,141 44,511,424 22,255,712 11,127,856 5,563,928 2,781,964 1,390,982 695,491 2,086,474 1,043,237 3,129,712 1,564,856 782,428 391,214 195,607 586,822 293,411 880,234 440,117 1,320,352 660,176 330,088 165,044 82,522 41,261 123,784 61,892 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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