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Atlas › Integer Profiles › Node 26,601,938

26,601,938

2 × 11 × 19 × 23 × 2767
Deficient Even Composite

26,601,938 factors as 2 × 11 × 19 × 23 × 2767. Its 32 positive divisors give a proper-divisor sum of 21,229,102, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 23 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,831,040
Proper Divisor Sum 21,229,102
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #26601929 ← → #26601941

Radix Representation

Decimal 26601938
Binary 1100101011110100111010010 (25 bits)
Octal 0o145364722
Hexadecimal 0x195E9D2

Divisor Catalog (32)

1 2 11 19 22 23 38 46 209 253 418 437 506 874 2,767 4,807 5,534 9,614 30,437 52,573 60,874 63,641 105,146 127,282 578,303 700,051 1,156,606 1,209,179 1,400,102 2,418,358 13,300,969 26,601,938

Collatz Trajectory (273 steps to reach 1)

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

26,601,938 13,300,969 39,902,908 19,951,454 9,975,727 29,927,182 14,963,591 44,890,774 22,445,387 67,336,162 33,668,081 101,004,244 50,502,122 25,251,061 75,753,184 37,876,592 18,938,296 9,469,148 4,734,574 2,367,287 7,101,862 3,550,931 10,652,794 5,326,397 15,979,192 7,989,596 3,994,798 1,997,399 5,992,198 2,996,099 8,988,298 4,494,149 13,482,448 6,741,224 3,370,612 1,685,306 842,653 2,527,960 1,263,980 631,990 315,995 947,986 473,993 1,421,980 710,990 355,495 1,066,486 533,243 1,599,730 799,865 2,399,596 1,199,798 599,899 1,799,698 899,849 2,699,548 1,349,774 674,887 2,024,662 1,012,331

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