4,956,144

2⁴ × 3 × 79 × 1307

Starting at 4,956,144, the Collatz iteration reaches 1 after 188 steps. The first transition is 2478072; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 79 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,975,360

Proper Divisor Sum 8,019,216

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4956139 ← → #4956151

Radix Representation

Decimal	4956144
Binary	10010111001111111110000 (23 bits)
Octal	0o22717760
Hexadecimal	0x4B9FF0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1,264 1,307 1,896 2,614 3,792 3,921 5,228 7,842 10,456 15,684 20,912 31,368 62,736 103,253 206,506 309,759 413,012 619,518 826,024 1,239,036 1,652,048 2,478,072 4,956,144

Collatz Trajectory (188 steps to reach 1)

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

4,956,144 2,478,072 1,239,036 619,518 309,759 929,278 464,639 1,393,918 696,959 2,090,878 1,045,439 3,136,318 1,568,159 4,704,478 2,352,239 7,056,718 3,528,359 10,585,078 5,292,539 15,877,618 7,938,809 23,816,428 11,908,214 5,954,107 17,862,322 8,931,161 26,793,484 13,396,742 6,698,371 20,095,114 10,047,557 30,142,672 15,071,336 7,535,668 3,767,834 1,883,917 5,651,752 2,825,876 1,412,938 706,469 2,119,408 1,059,704 529,852 264,926 132,463 397,390 198,695 596,086 298,043 894,130 447,065 1,341,196 670,598 335,299 1,005,898 502,949 1,508,848 754,424 377,212 188,606

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