407,908

2² × 101977

407,908 factors as 2^2 × 101977. Its 6 positive divisors give a proper-divisor sum of 305,938, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^2 × 101977

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 713,846

Proper Divisor Sum 305,938

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #407899 ← → #407917

Radix Representation

Decimal	407908
Binary	1100011100101100100 (19 bits)
Octal	0o1434544
Hexadecimal	0x63964

Divisor Catalog (6)

1 2 4 101,977 203,954 407,908

Collatz Trajectory (86 steps to reach 1)

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

407,908 203,954 101,977 305,932 152,966 76,483 229,450 114,725 344,176 172,088 86,044 43,022 21,511 64,534 32,267 96,802 48,401 145,204 72,602 36,301 108,904 54,452 27,226 13,613 40,840 20,420 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

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