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Atlas › Integer Profiles › Node 26,467,342

26,467,342

2 × 11 × 19 × 23 × 2753
Deficient Even Composite

26,467,342 factors as 2 × 11 × 19 × 23 × 2753. Its 32 positive divisors give a proper-divisor sum of 21,121,778, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 23 × 2753
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,589,120
Proper Divisor Sum 21,121,778
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26467339 ← → #26467349

Radix Representation

Decimal 26467342
Binary 1100100111101110000001110 (25 bits)
Octal 0o144756016
Hexadecimal 0x193DC0E

Divisor Catalog (32)

1 2 11 19 22 23 38 46 209 253 418 437 506 874 2,753 4,807 5,506 9,614 30,283 52,307 60,566 63,319 104,614 126,638 575,377 696,509 1,150,754 1,203,061 1,393,018 2,406,122 13,233,671 26,467,342

Collatz Trajectory (167 steps to reach 1)

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

26,467,342 13,233,671 39,701,014 19,850,507 59,551,522 29,775,761 89,327,284 44,663,642 22,331,821 66,995,464 33,497,732 16,748,866 8,374,433 25,123,300 12,561,650 6,280,825 18,842,476 9,421,238 4,710,619 14,131,858 7,065,929 21,197,788 10,598,894 5,299,447 15,898,342 7,949,171 23,847,514 11,923,757 35,771,272 17,885,636 8,942,818 4,471,409 13,414,228 6,707,114 3,353,557 10,060,672 5,030,336 2,515,168 1,257,584 628,792 314,396 157,198 78,599 235,798 117,899 353,698 176,849 530,548 265,274 132,637 397,912 198,956 99,478 49,739 149,218 74,609 223,828 111,914 55,957 167,872

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