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Atlas › Integer Profiles › Node 2,602,726

2,602,726

2 × 7 × 23 × 59 × 137
Deficient Even Composite

2,602,726 factors as 2 × 7 × 23 × 59 × 137. Its 32 positive divisors give a proper-divisor sum of 2,166,554, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 59 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,769,280
Proper Divisor Sum 2,166,554
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2602723 ← → #2602741

Radix Representation

Decimal 2602726
Binary 1001111011011011100110 (22 bits)
Octal 0o11733346
Hexadecimal 0x27B6E6

Divisor Catalog (32)

1 2 7 14 23 46 59 118 137 161 274 322 413 826 959 1,357 1,918 2,714 3,151 6,302 8,083 9,499 16,166 18,998 22,057 44,114 56,581 113,162 185,909 371,818 1,301,363 2,602,726

Collatz Trajectory (187 steps to reach 1)

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

2,602,726 1,301,363 3,904,090 1,952,045 5,856,136 2,928,068 1,464,034 732,017 2,196,052 1,098,026 549,013 1,647,040 823,520 411,760 205,880 102,940 51,470 25,735 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522

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