λ
Prime Ledger

1,680,704

26 × 26261
Deficient Even Composite

1,680,704 has the prime decomposition 2^6 × 26261. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 26261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 3,335,274
Proper Divisor Sum 1,654,570
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1680703 ← → #1680709

Radix Representation

Decimal 1680704
Binary 110011010010101000000 (21 bits)
Octal 0o6322500
Hexadecimal 0x19A540

Divisor Catalog (14)

1 2 4 8 16 32 64 26,261 52,522 105,044 210,088 420,176 840,352 1,680,704

Collatz Trajectory (83 steps to reach 1)

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

1,680,704 840,352 420,176 210,088 105,044 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304

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