4,577,178

2 × 3 × 43 × 113 × 157

Starting at 4,577,178, the Collatz iteration reaches 1 after 255 steps. The first transition is 2288589; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 113 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,510,336

Proper Divisor Sum 4,933,158

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4577149 ← → #4577179

Radix Representation

Decimal	4577178
Binary	10001011101011110011010 (23 bits)
Octal	0o21353632
Hexadecimal	0x45D79A

Divisor Catalog (32)

1 2 3 6 43 86 113 129 157 226 258 314 339 471 678 942 4,859 6,751 9,718 13,502 14,577 17,741 20,253 29,154 35,482 40,506 53,223 106,446 762,863 1,525,726 2,288,589 4,577,178

Collatz Trajectory (255 steps to reach 1)

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

4,577,178 2,288,589 6,865,768 3,432,884 1,716,442 858,221 2,574,664 1,287,332 643,666 321,833 965,500 482,750 241,375 724,126 362,063 1,086,190 543,095 1,629,286 814,643 2,443,930 1,221,965 3,665,896 1,832,948 916,474 458,237 1,374,712 687,356 343,678 171,839 515,518 257,759 773,278 386,639 1,159,918 579,959 1,739,878 869,939 2,609,818 1,304,909 3,914,728 1,957,364 978,682 489,341 1,468,024 734,012 367,006 183,503 550,510 275,255 825,766 412,883 1,238,650 619,325 1,857,976 928,988 464,494 232,247 696,742 348,371 1,045,114

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