λ
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77,611,690

2 × 5 × 13 × 271 × 2203
Deficient Even Composite

77,611,690 factors as 2 × 5 × 13 × 271 × 2203. Its 32 positive divisors give a proper-divisor sum of 73,459,286, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 271 × 2203
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 151,070,976
Proper Divisor Sum 73,459,286
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #77611679 ← → #77611691

Radix Representation

Decimal 77611690
Binary 100101000000100001010101010 (27 bits)
Octal 0o450041252
Hexadecimal 0x4A042AA

Divisor Catalog (32)

1 2 5 10 13 26 65 130 271 542 1,355 2,203 2,710 3,523 4,406 7,046 11,015 17,615 22,030 28,639 35,230 57,278 143,195 286,390 597,013 1,194,026 2,985,065 5,970,130 7,761,169 15,522,338 38,805,845 77,611,690

Collatz Trajectory (210 steps to reach 1)

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

77,611,690 38,805,845 116,417,536 58,208,768 29,104,384 14,552,192 7,276,096 3,638,048 1,819,024 909,512 454,756 227,378 113,689 341,068 170,534 85,267 255,802 127,901 383,704 191,852 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281

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