5,479,240

2³ × 5 × 13 × 41 × 257

Starting at 5,479,240, the Collatz iteration reaches 1 after 113 steps. The first transition is 2739620; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 41 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,653,360

Proper Divisor Sum 8,174,120

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5479223 ← → #5479247

Radix Representation

Decimal	5479240
Binary	10100111001101101001000 (23 bits)
Octal	0o24715510
Hexadecimal	0x539B48

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 257 260 328 410 514 520 533 820 1,028 1,066 1,285 1,640 2,056 2,132 2,570 2,665 3,341 4,264 5,140 5,330 6,682 10,280 10,537 10,660 13,364 16,705 21,074 21,320 26,728 33,410 42,148 52,685 66,820 84,296 105,370 133,640 136,981 210,740 273,962 421,480 547,924 684,905

Collatz Trajectory (113 steps to reach 1)

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

5,479,240 2,739,620 1,369,810 684,905 2,054,716 1,027,358 513,679 1,541,038 770,519 2,311,558 1,155,779 3,467,338 1,733,669 5,201,008 2,600,504 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

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