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Atlas › Integer Profiles › Node 2,477,736

2,477,736

23 × 33 × 11471
Abundant Even Composite

2,477,736 factors as 2^3 × 3^3 × 11471. Its 32 positive divisors give a proper-divisor sum of 4,405,464, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11471
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,883,200
Proper Divisor Sum 4,405,464
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2477729 ← → #2477743

Radix Representation

Decimal 2477736
Binary 1001011100111010101000 (22 bits)
Octal 0o11347250
Hexadecimal 0x25CEA8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11,471 22,942 34,413 45,884 68,826 91,768 103,239 137,652 206,478 275,304 309,717 412,956 619,434 825,912 1,238,868 2,477,736

Collatz Trajectory (174 steps to reach 1)

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

2,477,736 1,238,868 619,434 309,717 929,152 464,576 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437

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