λ
Prime Ledger

9,684,717

3 × 7 × 197 × 2341
Deficient Odd Composite

9,684,717 has the prime decomposition 3 × 7 × 197 × 2341. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 197 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,838,912
Proper Divisor Sum 5,154,195
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9684709 ← → #9684721

Radix Representation

Decimal 9684717
Binary 100100111100011011101101 (24 bits)
Octal 0o44743355
Hexadecimal 0x93C6ED

Divisor Catalog (16)

1 3 7 21 197 591 1,379 2,341 4,137 7,023 16,387 49,161 461,177 1,383,531 3,228,239 9,684,717

Collatz Trajectory (119 steps to reach 1)

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

9,684,717 29,054,152 14,527,076 7,263,538 3,631,769 10,895,308 5,447,654 2,723,827 8,171,482 4,085,741 12,257,224 6,128,612 3,064,306 1,532,153 4,596,460 2,298,230 1,149,115 3,447,346 1,723,673 5,171,020 2,585,510 1,292,755 3,878,266 1,939,133 5,817,400 2,908,700 1,454,350 727,175 2,181,526 1,090,763 3,272,290 1,636,145 4,908,436 2,454,218 1,227,109 3,681,328 1,840,664 920,332 460,166 230,083 690,250 345,125 1,035,376 517,688 258,844 129,422 64,711 194,134 97,067 291,202 145,601 436,804 218,402 109,201 327,604 163,802 81,901 245,704 122,852 61,426

More profiles

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