4,771,760

2⁴ × 5 × 7 × 8521

Starting at 4,771,760, the Collatz iteration reaches 1 after 100 steps. The first transition is 2385880; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 8521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,680,736

Proper Divisor Sum 7,908,976

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4771709 ← → #4771763

Radix Representation

Decimal	4771760
Binary	10010001100111110110000 (23 bits)
Octal	0o22147660
Hexadecimal	0x48CFB0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 8,521 17,042 34,084 42,605 59,647 68,168 85,210 119,294 136,336 170,420 238,588 298,235 340,840 477,176 596,470 681,680 954,352 1,192,940 2,385,880 4,771,760

Collatz Trajectory (100 steps to reach 1)

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

4,771,760 2,385,880 1,192,940 596,470 298,235 894,706 447,353 1,342,060 671,030 335,515 1,006,546 503,273 1,509,820 754,910 377,455 1,132,366 566,183 1,698,550 849,275 2,547,826 1,273,913 3,821,740 1,910,870 955,435 2,866,306 1,433,153 4,299,460 2,149,730 1,074,865 3,224,596 1,612,298 806,149 2,418,448 1,209,224 604,612 302,306 151,153 453,460 226,730 113,365 340,096 170,048 85,024 42,512 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048

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