4,755,652

2² × 11 × 29 × 3727

Starting at 4,755,652, the Collatz iteration reaches 1 after 175 steps. The first transition is 2377826; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,394,560

Proper Divisor Sum 4,638,908

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4755649 ← → #4755677

Radix Representation

Decimal	4755652
Binary	10010001001000011000100 (23 bits)
Octal	0o22110304
Hexadecimal	0x4890C4

Divisor Catalog (24)

1 2 4 11 22 29 44 58 116 319 638 1,276 3,727 7,454 14,908 40,997 81,994 108,083 163,988 216,166 432,332 1,188,913 2,377,826 4,755,652

Collatz Trajectory (175 steps to reach 1)

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

4,755,652 2,377,826 1,188,913 3,566,740 1,783,370 891,685 2,675,056 1,337,528 668,764 334,382 167,191 501,574 250,787 752,362 376,181 1,128,544 564,272 282,136 141,068 70,534 35,267 105,802 52,901 158,704 79,352 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172

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