λ
Sigma Notebook

8,032,617

32 × 892513
Deficient Odd Composite

8,032,617 is odd and not a perfect square. Its factorization is 3^2 × 892513 and its 6 divisors sum to 11,602,682.

Prime Factor Structure

Factorization String 3^2 × 892513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,602,682
Proper Divisor Sum 3,570,065
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8032613 ← → #8032621

Radix Representation

Decimal 8032617
Binary 11110101001000101101001 (23 bits)
Octal 0o36510551
Hexadecimal 0x7A9169

Divisor Catalog (6)

1 3 9 892,513 2,677,539 8,032,617

Collatz Trajectory (261 steps to reach 1)

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

8,032,617 24,097,852 12,048,926 6,024,463 18,073,390 9,036,695 27,110,086 13,555,043 40,665,130 20,332,565 60,997,696 30,498,848 15,249,424 7,624,712 3,812,356 1,906,178 953,089 2,859,268 1,429,634 714,817 2,144,452 1,072,226 536,113 1,608,340 804,170 402,085 1,206,256 603,128 301,564 150,782 75,391 226,174 113,087 339,262 169,631 508,894 254,447 763,342 381,671 1,145,014 572,507 1,717,522 858,761 2,576,284 1,288,142 644,071 1,932,214 966,107 2,898,322 1,449,161 4,347,484 2,173,742 1,086,871 3,260,614 1,630,307 4,890,922 2,445,461 7,336,384 3,668,192 1,834,096

More profiles

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