4,689,640

2³ × 5 × 117241

Starting at 4,689,640, the Collatz iteration reaches 1 after 206 steps. The first transition is 2344820; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 117241

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,551,780

Proper Divisor Sum 5,862,140

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4689611 ← → #4689661

Radix Representation

Decimal	4689640
Binary	10001111000111011101000 (23 bits)
Octal	0o21707350
Hexadecimal	0x478EE8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 117,241 234,482 468,964 586,205 937,928 1,172,410 2,344,820 4,689,640

Collatz Trajectory (206 steps to reach 1)

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

4,689,640 2,344,820 1,172,410 586,205 1,758,616 879,308 439,654 219,827 659,482 329,741 989,224 494,612 247,306 123,653 370,960 185,480 92,740 46,370 23,185 69,556 34,778 17,389 52,168 26,084 13,042 6,521 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758

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