λ
Prime Ledger

1,292,013

32 × 89 × 1613
Deficient Odd Composite

1,292,013 has the prime decomposition 3^2 × 89 × 1613. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 89 × 1613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,888,380
Proper Divisor Sum 596,367
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1292009 ← → #1292023

Radix Representation

Decimal 1292013
Binary 100111011011011101101 (21 bits)
Octal 0o4733355
Hexadecimal 0x13B6ED

Divisor Catalog (12)

1 3 9 89 267 801 1,613 4,839 14,517 143,557 430,671 1,292,013

Collatz Trajectory (54 steps to reach 1)

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

1,292,013 3,876,040 1,938,020 969,010 484,505 1,453,516 726,758 363,379 1,090,138 545,069 1,635,208 817,604 408,802 204,401 613,204 306,602 153,301 459,904 229,952 114,976 57,488 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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