λ
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Atlas › Integer Profiles › Node 26,890,996

26,890,996

22 × 11 × 43 × 61 × 233
Deficient Even Composite

26,890,996 factors as 2^2 × 11 × 43 × 61 × 233. Its 48 positive divisors give a proper-divisor sum of 26,730,572, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 43 × 61 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,621,568
Proper Divisor Sum 26,730,572
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #26890993 ← → #26891017

Radix Representation

Decimal 26890996
Binary 1100110100101001011110100 (25 bits)
Octal 0o146451364
Hexadecimal 0x19A52F4

Divisor Catalog (48)

1 2 4 11 22 43 44 61 86 122 172 233 244 466 473 671 932 946 1,342 1,892 2,563 2,623 2,684 5,126 5,246 10,019 10,252 10,492 14,213 20,038 28,426 28,853 40,076 56,852 57,706 110,209 115,412 156,343 220,418 312,686 440,836 611,159 625,372 1,222,318 2,444,636 6,722,749 13,445,498 26,890,996

Collatz Trajectory (118 steps to reach 1)

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

26,890,996 13,445,498 6,722,749 20,168,248 10,084,124 5,042,062 2,521,031 7,563,094 3,781,547 11,344,642 5,672,321 17,016,964 8,508,482 4,254,241 12,762,724 6,381,362 3,190,681 9,572,044 4,786,022 2,393,011 7,179,034 3,589,517 10,768,552 5,384,276 2,692,138 1,346,069 4,038,208 2,019,104 1,009,552 504,776 252,388 126,194 63,097 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566

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