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477,664

25 × 11 × 23 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 11 × 23 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,088,640
Proper Divisor Sum 610,976
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #477637 ← → #477671

Radix Representation

Decimal 477664
Binary 1110100100111100000 (19 bits)
Octal 0o1644740
Hexadecimal 0x749E0

Divisor Catalog (48)

1 2 4 8 11 16 22 23 32 44 46 59 88 92 118 176 184 236 253 352 368 472 506 649 736 944 1,012 1,298 1,357 1,888 2,024 2,596 2,714 4,048 5,192 5,428 8,096 10,384 10,856 14,927 20,768 21,712 29,854 43,424 59,708 119,416 238,832 477,664

Collatz Trajectory (76 steps to reach 1)

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

477,664 238,832 119,416 59,708 29,854 14,927 44,782 22,391 67,174 33,587 100,762 50,381 151,144 75,572 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88

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