λ
Prime Ledger

1,613,417

13 × 79 × 1571
Deficient Odd Composite

1,613,417 has the prime decomposition 13 × 79 × 1571. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 79 × 1571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,760,640
Proper Divisor Sum 147,223
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1613413 ← → #1613441

Radix Representation

Decimal 1613417
Binary 110001001111001101001 (21 bits)
Octal 0o6117151
Hexadecimal 0x189E69

Divisor Catalog (8)

1 13 79 1,027 1,571 20,423 124,109 1,613,417

Collatz Trajectory (238 steps to reach 1)

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

1,613,417 4,840,252 2,420,126 1,210,063 3,630,190 1,815,095 5,445,286 2,722,643 8,167,930 4,083,965 12,251,896 6,125,948 3,062,974 1,531,487 4,594,462 2,297,231 6,891,694 3,445,847 10,337,542 5,168,771 15,506,314 7,753,157 23,259,472 11,629,736 5,814,868 2,907,434 1,453,717 4,361,152 2,180,576 1,090,288 545,144 272,572 136,286 68,143 204,430 102,215 306,646 153,323 459,970 229,985 689,956 344,978 172,489 517,468 258,734 129,367 388,102 194,051 582,154 291,077 873,232 436,616 218,308 109,154 54,577 163,732 81,866 40,933 122,800 61,400

More profiles

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