4,179,832

2³ × 522479

Starting at 4,179,832, the Collatz iteration reaches 1 after 136 steps. The first transition is 2089916; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 522479

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,837,200

Proper Divisor Sum 3,657,368

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4179803 ← → #4179839

Radix Representation

Decimal	4179832
Binary	1111111100011101111000 (22 bits)
Octal	0o17743570
Hexadecimal	0x3FC778

Divisor Catalog (8)

1 2 4 8 522,479 1,044,958 2,089,916 4,179,832

Collatz Trajectory (136 steps to reach 1)

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

4,179,832 2,089,916 1,044,958 522,479 1,567,438 783,719 2,351,158 1,175,579 3,526,738 1,763,369 5,290,108 2,645,054 1,322,527 3,967,582 1,983,791 5,951,374 2,975,687 8,927,062 4,463,531 13,390,594 6,695,297 20,085,892 10,042,946 5,021,473 15,064,420 7,532,210 3,766,105 11,298,316 5,649,158 2,824,579 8,473,738 4,236,869 12,710,608 6,355,304 3,177,652 1,588,826 794,413 2,383,240 1,191,620 595,810 297,905 893,716 446,858 223,429 670,288 335,144 167,572 83,786 41,893 125,680 62,840 31,420 15,710 7,855 23,566 11,783 35,350 17,675 53,026 26,513

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