2,458,512

2⁴ × 3⁴ × 7 × 271

Starting at 2,458,512, the Collatz iteration reaches 1 after 174 steps. The first transition is 1229256; the starting value is even with 100 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 8,162,176

Proper Divisor Sum 5,703,664

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2458501 ← → #2458537

Radix Representation

Decimal	2458512
Binary	1001011000001110010000 (22 bits)
Octal	0o11301620
Hexadecimal	0x258390

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 271 324 336 378 432 504 542 567 648 756 813 1,008 1,084 1,134 1,296 1,512 1,626 1,897 2,168 2,268 2,439 3,024 3,252 3,794 4,336 4,536

Collatz Trajectory (174 steps to reach 1)

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

2,458,512 1,229,256 614,628 307,314 153,657 460,972 230,486 115,243 345,730 172,865 518,596 259,298 129,649 388,948 194,474 97,237 291,712 145,856 72,928 36,464 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

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