λ
Prime Ledger

613,404

22 × 32 × 11 × 1549
Abundant Even Composite

613,404 has the prime decomposition 2^2 × 3^2 × 11 × 1549. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 1549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,692,600
Proper Divisor Sum 1,079,196
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #613381 ← → #613421

Radix Representation

Decimal 613404
Binary 10010101110000011100 (20 bits)
Octal 0o2256034
Hexadecimal 0x95C1C

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1,549 3,098 4,647 6,196 9,294 13,941 17,039 18,588 27,882 34,078 51,117 55,764 68,156 102,234 153,351 204,468 306,702 613,404

Collatz Trajectory (159 steps to reach 1)

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

613,404 306,702 153,351 460,054 230,027 690,082 345,041 1,035,124 517,562 258,781 776,344 388,172 194,086 97,043 291,130 145,565 436,696 218,348 109,174 54,587 163,762 81,881 245,644 122,822 61,411 184,234 92,117 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893

More profiles

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