λ
Prime Ledger

5,479,236

22 × 32 × 7 × 17 × 1279
Abundant Even Composite

5,479,236 has the prime decomposition 2^2 × 3^2 × 7 × 17 × 1279. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17 × 1279
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,773,120
Proper Divisor Sum 11,293,884
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5479223 ← → #5479247

Radix Representation

Decimal 5479236
Binary 10100111001101101000100 (23 bits)
Octal 0o24715504
Hexadecimal 0x539B44

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1,071 1,279 1,428 2,142 2,558 3,837 4,284 5,116 7,674 8,953 11,511 15,348 17,906 21,743 23,022 26,859 35,812 43,486 46,044 53,718 65,229 80,577 86,972 107,436 130,458 152,201 161,154 195,687

Collatz Trajectory (113 steps to reach 1)

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

5,479,236 2,739,618 1,369,809 4,109,428 2,054,714 1,027,357 3,082,072 1,541,036 770,518 385,259 1,155,778 577,889 1,733,668 866,834 433,417 1,300,252 650,126 325,063 975,190 487,595 1,462,786 731,393 2,194,180 1,097,090 548,545 1,645,636 822,818 411,409 1,234,228 617,114 308,557 925,672 462,836 231,418 115,709 347,128 173,564 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753

More profiles

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