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Atlas › Integer Profiles › Node 26,348,592

26,348,592

24 × 3 × 19 × 167 × 173
Abundant Even Composite

26,348,592 factors as 2^4 × 3 × 19 × 167 × 173. Its 80 positive divisors give a proper-divisor sum of 46,146,768, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 167 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 72,495,360
Proper Divisor Sum 46,146,768
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #26348591 ← → #26348603

Radix Representation

Decimal 26348592
Binary 1100100100000110000110000 (25 bits)
Octal 0o144406060
Hexadecimal 0x1920C30

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 167 173 228 304 334 346 456 501 519 668 692 912 1,002 1,038 1,336 1,384 2,004 2,076 2,672 2,768 3,173 3,287 4,008 4,152 6,346 6,574 8,016 8,304 9,519 9,861 12,692 13,148 19,038 19,722 25,384 26,296 28,891 38,076 39,444 50,768 52,592 57,782 76,152 78,888

Collatz Trajectory (87 steps to reach 1)

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

26,348,592 13,174,296 6,587,148 3,293,574 1,646,787 4,940,362 2,470,181 7,410,544 3,705,272 1,852,636 926,318 463,159 1,389,478 694,739 2,084,218 1,042,109 3,126,328 1,563,164 781,582 390,791 1,172,374 586,187 1,758,562 879,281 2,637,844 1,318,922 659,461 1,978,384 989,192 494,596 247,298 123,649 370,948 185,474 92,737 278,212 139,106 69,553 208,660 104,330 52,165 156,496 78,248 39,124 19,562 9,781 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130

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