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Atlas › Integer Profiles › Node 45,697,488

45,697,488

24 × 3 × 617 × 1543
Abundant Even Composite

45,697,488 factors as 2^4 × 3 × 617 × 1543. Its 40 positive divisors give a proper-divisor sum of 72,622,320, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 617 × 1543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 118,319,808
Proper Divisor Sum 72,622,320
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #45697459 ← → #45697507

Radix Representation

Decimal 45697488
Binary 10101110010100100111010000 (26 bits)
Octal 0o256244720
Hexadecimal 0x2B949D0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 617 1,234 1,543 1,851 2,468 3,086 3,702 4,629 4,936 6,172 7,404 9,258 9,872 12,344 14,808 18,516 24,688 29,616 37,032 74,064 952,031 1,904,062 2,856,093 3,808,124 5,712,186 7,616,248 11,424,372 15,232,496 22,848,744 45,697,488

Collatz Trajectory (155 steps to reach 1)

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

45,697,488 22,848,744 11,424,372 5,712,186 2,856,093 8,568,280 4,284,140 2,142,070 1,071,035 3,213,106 1,606,553 4,819,660 2,409,830 1,204,915 3,614,746 1,807,373 5,422,120 2,711,060 1,355,530 677,765 2,033,296 1,016,648 508,324 254,162 127,081 381,244 190,622 95,311 285,934 142,967 428,902 214,451 643,354 321,677 965,032 482,516 241,258 120,629 361,888 180,944 90,472 45,236 22,618 11,309 33,928 16,964 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343

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