17,577,424

2⁴ × 331 × 3319

17,577,424 factors as 2^4 × 331 × 3319. Its 20 positive divisors give a proper-divisor sum of 16,592,016, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^4 × 331 × 3319

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 34,169,440

Proper Divisor Sum 16,592,016

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17577419 ← → #17577433

Radix Representation

Decimal	17577424
Binary	1000011000011010111010000 (25 bits)
Octal	0o103032720
Hexadecimal	0x10C35D0

Divisor Catalog (20)

Collatz Trajectory (125 steps to reach 1)

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

17,577,424 8,788,712 4,394,356 2,197,178 1,098,589 3,295,768 1,647,884 823,942 411,971 1,235,914 617,957 1,853,872 926,936 463,468 231,734 115,867 347,602 173,801 521,404 260,702 130,351 391,054 195,527 586,582 293,291 879,874 439,937 1,319,812 659,906 329,953 989,860 494,930 247,465 742,396 371,198 185,599 556,798 278,399 835,198 417,599 1,252,798 626,399 1,879,198 939,599 2,818,798 1,409,399 4,228,198 2,114,099 6,342,298 3,171,149 9,513,448 4,756,724 2,378,362 1,189,181 3,567,544 1,783,772 891,886 445,943 1,337,830 668,915

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