λ
Ratio Atlas

88,320,137

67 × 1318211
Deficient Odd Composite

88,320,137 factors as 67 × 1318211. Its 4 positive divisors give a proper-divisor sum of 1,318,279, so this integer is deficient. The Collatz stopping time is 280 steps.

Prime Factor Structure

Factorization String 67 × 1318211
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 89,638,416
Proper Divisor Sum 1,318,279
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #88320091 ← → #88320139

Radix Representation

Decimal 88320137
Binary 101010000111010100010001001 (27 bits)
Octal 0o520724211
Hexadecimal 0x543A889

Divisor Catalog (4)

Collatz Trajectory (280 steps to reach 1)

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

88,320,137 264,960,412 132,480,206 66,240,103 198,720,310 99,360,155 298,080,466 149,040,233 447,120,700 223,560,350 111,780,175 335,340,526 167,670,263 503,010,790 251,505,395 754,516,186 377,258,093 1,131,774,280 565,887,140 282,943,570 141,471,785 424,415,356 212,207,678 106,103,839 318,311,518 159,155,759 477,467,278 238,733,639 716,200,918 358,100,459 1,074,301,378 537,150,689 1,611,452,068 805,726,034 402,863,017 1,208,589,052 604,294,526 302,147,263 906,441,790 453,220,895 1,359,662,686 679,831,343 2,039,494,030 1,019,747,015 3,059,241,046 1,529,620,523 4,588,861,570 2,294,430,785 6,883,292,356 3,441,646,178 1,720,823,089 5,162,469,268 2,581,234,634 1,290,617,317 3,871,851,952 1,935,925,976 967,962,988 483,981,494 241,990,747 725,972,242

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