4,661,968

2⁴ × 291373

Starting at 4,661,968, the Collatz iteration reaches 1 after 193 steps. The first transition is 2330984; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 291373

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 9,032,594

Proper Divisor Sum 4,370,626

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4661959 ← → #4661983

Radix Representation

Decimal	4661968
Binary	10001110010001011010000 (23 bits)
Octal	0o21621320
Hexadecimal	0x4722D0

Divisor Catalog (10)

1 2 4 8 16 291,373 582,746 1,165,492 2,330,984 4,661,968

Collatz Trajectory (193 steps to reach 1)

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

4,661,968 2,330,984 1,165,492 582,746 291,373 874,120 437,060 218,530 109,265 327,796 163,898 81,949 245,848 122,924 61,462 30,731 92,194 46,097 138,292 69,146 34,573 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823

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