λ
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26,322,632

23 × 7 × 47 × 73 × 137
Abundant Even Composite

26,322,632 factors as 2^3 × 7 × 47 × 73 × 137. Its 64 positive divisors give a proper-divisor sum of 32,498,488, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 73 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 58,821,120
Proper Divisor Sum 32,498,488
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #26322631 ← → #26322641

Radix Representation

Decimal 26322632
Binary 1100100011010011011001000 (25 bits)
Octal 0o144323310
Hexadecimal 0x191A6C8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 47 56 73 94 137 146 188 274 292 329 376 511 548 584 658 959 1,022 1,096 1,316 1,918 2,044 2,632 3,431 3,836 4,088 6,439 6,862 7,672 10,001 12,878 13,724 20,002 24,017 25,756 27,448 40,004 45,073 48,034 51,512 70,007 80,008 90,146 96,068 140,014 180,292 192,136 280,028 360,584 470,047 560,056 940,094 1,880,188 3,290,329

Collatz Trajectory (149 steps to reach 1)

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

26,322,632 13,161,316 6,580,658 3,290,329 9,870,988 4,935,494 2,467,747 7,403,242 3,701,621 11,104,864 5,552,432 2,776,216 1,388,108 694,054 347,027 1,041,082 520,541 1,561,624 780,812 390,406 195,203 585,610 292,805 878,416 439,208 219,604 109,802 54,901 164,704 82,352 41,176 20,588 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002

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