4,100,272

2⁴ × 11 × 23297

Starting at 4,100,272, the Collatz iteration reaches 1 after 92 steps. The first transition is 2050136; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 23297

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,666,856

Proper Divisor Sum 4,566,584

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4100269 ← → #4100293

Radix Representation

Decimal	4100272
Binary	1111101001000010110000 (22 bits)
Octal	0o17510260
Hexadecimal	0x3E90B0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 23,297 46,594 93,188 186,376 256,267 372,752 512,534 1,025,068 2,050,136 4,100,272

Collatz Trajectory (92 steps to reach 1)

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

4,100,272 2,050,136 1,025,068 512,534 256,267 768,802 384,401 1,153,204 576,602 288,301 864,904 432,452 216,226 108,113 324,340 162,170 81,085 243,256 121,628 60,814 30,407 91,222 45,611 136,834 68,417 205,252 102,626 51,313 153,940 76,970 38,485 115,456 57,728 28,864 14,432 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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