5,506,976

2⁵ × 172093

Starting at 5,506,976, the Collatz iteration reaches 1 after 82 steps. The first transition is 2753488; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 172093

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,841,922

Proper Divisor Sum 5,334,946

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5506961 ← → #5506999

Radix Representation

Decimal	5506976
Binary	10101000000011110100000 (23 bits)
Octal	0o25003640
Hexadecimal	0x5407A0

Divisor Catalog (12)

1 2 4 8 16 32 172,093 344,186 688,372 1,376,744 2,753,488 5,506,976

Collatz Trajectory (82 steps to reach 1)

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

5,506,976 2,753,488 1,376,744 688,372 344,186 172,093 516,280 258,140 129,070 64,535 193,606 96,803 290,410 145,205 435,616 217,808 108,904 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 1,300 650 325 976

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