4,162,792

2³ × 520349

Starting at 4,162,792, the Collatz iteration reaches 1 after 74 steps. The first transition is 2081396; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 520349

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,805,250

Proper Divisor Sum 3,642,458

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4162783 ← → #4162811

Radix Representation

Decimal	4162792
Binary	1111111000010011101000 (22 bits)
Octal	0o17702350
Hexadecimal	0x3F84E8

Divisor Catalog (8)

1 2 4 8 520,349 1,040,698 2,081,396 4,162,792

Collatz Trajectory (74 steps to reach 1)

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

4,162,792 2,081,396 1,040,698 520,349 1,561,048 780,524 390,262 195,131 585,394 292,697 878,092 439,046 219,523 658,570 329,285 987,856 493,928 246,964 123,482 61,741 185,224 92,612 46,306 23,153 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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