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Atlas › Integer Profiles › Node 5,437,120

5,437,120

26 × 5 × 13 × 1307
Abundant Even Composite

5,437,120 factors as 2^6 × 5 × 13 × 1307. Its 56 positive divisors give a proper-divisor sum of 8,516,624, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,953,744
Proper Divisor Sum 8,516,624
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5437079 ← → #5437139

Radix Representation

Decimal 5437120
Binary 10100101111011011000000 (23 bits)
Octal 0o24573300
Hexadecimal 0x52F6C0

Divisor Catalog (56)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1,040 1,307 2,080 2,614 4,160 5,228 6,535 10,456 13,070 16,991 20,912 26,140 33,982 41,824 52,280 67,964 83,648 84,955 104,560 135,928 169,910 209,120 271,856 339,820 418,240 543,712 679,640 1,087,424 1,359,280 2,718,560 5,437,120

Collatz Trajectory (113 steps to reach 1)

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

5,437,120 2,718,560 1,359,280 679,640 339,820 169,910 84,955 254,866 127,433 382,300 191,150 95,575 286,726 143,363 430,090 215,045 645,136 322,568 161,284 80,642 40,321 120,964 60,482 30,241 90,724 45,362 22,681 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504

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