4,877,368

2³ × 17 × 35863

Starting at 4,877,368, the Collatz iteration reaches 1 after 206 steps. The first transition is 2438684; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 35863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,683,280

Proper Divisor Sum 4,805,912

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #4877347 ← → #4877387

Radix Representation

Decimal	4877368
Binary	10010100110110000111000 (23 bits)
Octal	0o22466070
Hexadecimal	0x4A6C38

Divisor Catalog (16)

1 2 4 8 17 34 68 136 35,863 71,726 143,452 286,904 609,671 1,219,342 2,438,684 4,877,368

Collatz Trajectory (206 steps to reach 1)

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

4,877,368 2,438,684 1,219,342 609,671 1,829,014 914,507 2,743,522 1,371,761 4,115,284 2,057,642 1,028,821 3,086,464 1,543,232 771,616 385,808 192,904 96,452 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159

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