4,144,992

2⁵ × 3 × 43177

Starting at 4,144,992, the Collatz iteration reaches 1 after 123 steps. The first transition is 2072496; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 43177

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,880,856

Proper Divisor Sum 6,735,864

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4144981 ← → #4145003

Radix Representation

Decimal	4144992
Binary	1111110011111101100000 (22 bits)
Octal	0o17637540
Hexadecimal	0x3F3F60

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 43,177 86,354 129,531 172,708 259,062 345,416 518,124 690,832 1,036,248 1,381,664 2,072,496 4,144,992

Collatz Trajectory (123 steps to reach 1)

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

4,144,992 2,072,496 1,036,248 518,124 259,062 129,531 388,594 194,297 582,892 291,446 145,723 437,170 218,585 655,756 327,878 163,939 491,818 245,909 737,728 368,864 184,432 92,216 46,108 23,054 11,527 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774

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