8,004,829

7 × 311 × 3677

8,004,829 has the prime decomposition 7 × 311 × 3677. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 311 × 3677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,180,288

Proper Divisor Sum 1,175,459

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8004823 ← → #8004853

Radix Representation

Decimal	8004829
Binary	11110100010010011011101 (23 bits)
Octal	0o36422335
Hexadecimal	0x7A24DD

Divisor Catalog (8)

1 7 311 2,177 3,677 25,739 1,143,547 8,004,829

Collatz Trajectory (98 steps to reach 1)

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

8,004,829 24,014,488 12,007,244 6,003,622 3,001,811 9,005,434 4,502,717 13,508,152 6,754,076 3,377,038 1,688,519 5,065,558 2,532,779 7,598,338 3,799,169 11,397,508 5,698,754 2,849,377 8,548,132 4,274,066 2,137,033 6,411,100 3,205,550 1,602,775 4,808,326 2,404,163 7,212,490 3,606,245 10,818,736 5,409,368 2,704,684 1,352,342 676,171 2,028,514 1,014,257 3,042,772 1,521,386 760,693 2,282,080 1,141,040 570,520 285,260 142,630 71,315 213,946 106,973 320,920 160,460 80,230 40,115 120,346 60,173 180,520 90,260 45,130 22,565 67,696 33,848 16,924 8,462

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