4,586,575

5² × 7 × 26209

Starting at 4,586,575, the Collatz iteration reaches 1 after 105 steps. The first transition is 13759726; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 26209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,500,080

Proper Divisor Sum 1,913,505

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4586563 ← → #4586587

Radix Representation

Decimal	4586575
Binary	10001011111110001001111 (23 bits)
Octal	0o21376117
Hexadecimal	0x45FC4F

Divisor Catalog (12)

1 5 7 25 35 175 26,209 131,045 183,463 655,225 917,315 4,586,575

Collatz Trajectory (105 steps to reach 1)

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

4,586,575 13,759,726 6,879,863 20,639,590 10,319,795 30,959,386 15,479,693 46,439,080 23,219,540 11,609,770 5,804,885 17,414,656 8,707,328 4,353,664 2,176,832 1,088,416 544,208 272,104 136,052 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853

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