λ
Prime Ledger

6,073,956

22 × 32 × 7 × 24103
Abundant Even Composite

6,073,956 has the prime decomposition 2^2 × 3^2 × 7 × 24103. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 24103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,547,712
Proper Divisor Sum 11,473,756
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6073943 ← → #6073961

Radix Representation

Decimal 6073956
Binary 10111001010111001100100 (23 bits)
Octal 0o27127144
Hexadecimal 0x5CAE64

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 24,103 48,206 72,309 96,412 144,618 168,721 216,927 289,236 337,442 433,854 506,163 674,884 867,708 1,012,326 1,518,489 2,024,652 3,036,978 6,073,956

Collatz Trajectory (183 steps to reach 1)

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

6,073,956 3,036,978 1,518,489 4,555,468 2,277,734 1,138,867 3,416,602 1,708,301 5,124,904 2,562,452 1,281,226 640,613 1,921,840 960,920 480,460 240,230 120,115 360,346 180,173 540,520 270,260 135,130 67,565 202,696 101,348 50,674 25,337 76,012 38,006 19,003 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425

More profiles

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