4,576,971

3 × 7 × 67 × 3253

Starting at 4,576,971, the Collatz iteration reaches 1 after 118 steps. The first transition is 13730914; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 67 × 3253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,080,704

Proper Divisor Sum 2,503,733

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4576951 ← → #4576973

Radix Representation

Decimal	4576971
Binary	10001011101011011001011 (23 bits)
Octal	0o21353313
Hexadecimal	0x45D6CB

Divisor Catalog (16)

1 3 7 21 67 201 469 1,407 3,253 9,759 22,771 68,313 217,951 653,853 1,525,657 4,576,971

Collatz Trajectory (118 steps to reach 1)

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

4,576,971 13,730,914 6,865,457 20,596,372 10,298,186 5,149,093 15,447,280 7,723,640 3,861,820 1,930,910 965,455 2,896,366 1,448,183 4,344,550 2,172,275 6,516,826 3,258,413 9,775,240 4,887,620 2,443,810 1,221,905 3,665,716 1,832,858 916,429 2,749,288 1,374,644 687,322 343,661 1,030,984 515,492 257,746 128,873 386,620 193,310 96,655 289,966 144,983 434,950 217,475 652,426 326,213 978,640 489,320 244,660 122,330 61,165 183,496 91,748 45,874 22,937 68,812 34,406 17,203 51,610 25,805 77,416 38,708 19,354 9,677 29,032

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