λ
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Atlas › Integer Profiles › Node 26,332,330

26,332,330

2 × 5 × 31 × 173 × 491
Deficient Even Composite

26,332,330 factors as 2 × 5 × 31 × 173 × 491. Its 32 positive divisors give a proper-divisor sum of 22,977,878, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 173 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,310,208
Proper Divisor Sum 22,977,878
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #26332289 ← → #26332351

Radix Representation

Decimal 26332330
Binary 1100100011100110010101010 (25 bits)
Octal 0o144346252
Hexadecimal 0x191CCAA

Divisor Catalog (32)

1 2 5 10 31 62 155 173 310 346 491 865 982 1,730 2,455 4,910 5,363 10,726 15,221 26,815 30,442 53,630 76,105 84,943 152,210 169,886 424,715 849,430 2,633,233 5,266,466 13,166,165 26,332,330

Collatz Trajectory (180 steps to reach 1)

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

26,332,330 13,166,165 39,498,496 19,749,248 9,874,624 4,937,312 2,468,656 1,234,328 617,164 308,582 154,291 462,874 231,437 694,312 347,156 173,578 86,789 260,368 130,184 65,092 32,546 16,273 48,820 24,410 12,205 36,616 18,308 9,154 4,577 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648

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