λ
Prime Ledger

426,979

7 × 181 × 337
Deficient Odd Composite

426,979 has the prime decomposition 7 × 181 × 337. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 181 × 337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 492,128
Proper Divisor Sum 65,149
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #426973 ← → #426997

Radix Representation

Decimal 426979
Binary 1101000001111100011 (19 bits)
Octal 0o1501743
Hexadecimal 0x683E3

Divisor Catalog (8)

1 7 181 337 1,267 2,359 60,997 426,979

Collatz Trajectory (187 steps to reach 1)

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

426,979 1,280,938 640,469 1,921,408 960,704 480,352 240,176 120,088 60,044 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576

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