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Atlas › Integer Profiles › Node 26,156,824

26,156,824

23 × 59 × 151 × 367
Deficient Even Composite

26,156,824 factors as 2^3 × 59 × 151 × 367. Its 32 positive divisors give a proper-divisor sum of 24,185,576, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 151 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 50,342,400
Proper Divisor Sum 24,185,576
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26156803 ← → #26156831

Radix Representation

Decimal 26156824
Binary 1100011110001111100011000 (25 bits)
Octal 0o143617430
Hexadecimal 0x18F1F18

Divisor Catalog (32)

1 2 4 8 59 118 151 236 302 367 472 604 734 1,208 1,468 2,936 8,909 17,818 21,653 35,636 43,306 55,417 71,272 86,612 110,834 173,224 221,668 443,336 3,269,603 6,539,206 13,078,412 26,156,824

Collatz Trajectory (105 steps to reach 1)

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

26,156,824 13,078,412 6,539,206 3,269,603 9,808,810 4,904,405 14,713,216 7,356,608 3,678,304 1,839,152 919,576 459,788 229,894 114,947 344,842 172,421 517,264 258,632 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609

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