4,621,772

2² × 83 × 13921

Starting at 4,621,772, the Collatz iteration reaches 1 after 162 steps. The first transition is 2310886; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 83 × 13921

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,186,136

Proper Divisor Sum 3,564,364

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4621723 ← → #4621777

Radix Representation

Decimal	4621772
Binary	10001101000010111001100 (23 bits)
Octal	0o21502714
Hexadecimal	0x4685CC

Divisor Catalog (12)

1 2 4 83 166 332 13,921 27,842 55,684 1,155,443 2,310,886 4,621,772

Collatz Trajectory (162 steps to reach 1)

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

4,621,772 2,310,886 1,155,443 3,466,330 1,733,165 5,199,496 2,599,748 1,299,874 649,937 1,949,812 974,906 487,453 1,462,360 731,180 365,590 182,795 548,386 274,193 822,580 411,290 205,645 616,936 308,468 154,234 77,117 231,352 115,676 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321

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