4,974,138

2 × 3² × 13 × 29 × 733

Starting at 4,974,138, the Collatz iteration reaches 1 after 144 steps. The first transition is 2487069; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 29 × 733

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,022,920

Proper Divisor Sum 7,048,782

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4974133 ← → #4974139

Radix Representation

Decimal	4974138
Binary	10010111110011000111010 (23 bits)
Octal	0o22763072
Hexadecimal	0x4BE63A

Divisor Catalog (48)

1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 733 754 1,131 1,466 2,199 2,262 3,393 4,398 6,597 6,786 9,529 13,194 19,058 21,257 28,587 42,514 57,174 63,771 85,761 127,542 171,522 191,313 276,341 382,626 552,682 829,023 1,658,046 2,487,069 4,974,138

Collatz Trajectory (144 steps to reach 1)

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

4,974,138 2,487,069 7,461,208 3,730,604 1,865,302 932,651 2,797,954 1,398,977 4,196,932 2,098,466 1,049,233 3,147,700 1,573,850 786,925 2,360,776 1,180,388 590,194 295,097 885,292 442,646 221,323 663,970 331,985 995,956 497,978 248,989 746,968 373,484 186,742 93,371 280,114 140,057 420,172 210,086 105,043 315,130 157,565 472,696 236,348 118,174 59,087 177,262 88,631 265,894 132,947 398,842 199,421 598,264 299,132 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780

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