4,723,784

2³ × 13 × 53 × 857

Starting at 4,723,784, the Collatz iteration reaches 1 after 149 steps. The first transition is 2361892; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 53 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,729,720

Proper Divisor Sum 5,005,936

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4723783 ← → #4723813

Radix Representation

Decimal	4723784
Binary	10010000001010001001000 (23 bits)
Octal	0o22012110
Hexadecimal	0x481448

Divisor Catalog (32)

1 2 4 8 13 26 52 53 104 106 212 424 689 857 1,378 1,714 2,756 3,428 5,512 6,856 11,141 22,282 44,564 45,421 89,128 90,842 181,684 363,368 590,473 1,180,946 2,361,892 4,723,784

Collatz Trajectory (149 steps to reach 1)

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

4,723,784 2,361,892 1,180,946 590,473 1,771,420 885,710 442,855 1,328,566 664,283 1,992,850 996,425 2,989,276 1,494,638 747,319 2,241,958 1,120,979 3,362,938 1,681,469 5,044,408 2,522,204 1,261,102 630,551 1,891,654 945,827 2,837,482 1,418,741 4,256,224 2,128,112 1,064,056 532,028 266,014 133,007 399,022 199,511 598,534 299,267 897,802 448,901 1,346,704 673,352 336,676 168,338 84,169 252,508 126,254 63,127 189,382 94,691 284,074 142,037 426,112 213,056 106,528 53,264 26,632 13,316 6,658 3,329 9,988 4,994

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