λ
Prime Ledger

7,727,435

5 × 17 × 90911
Deficient Odd Composite

7,727,435 has the prime decomposition 5 × 17 × 90911. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 90911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,818,496
Proper Divisor Sum 2,091,061
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7727389 ← → #7727437

Radix Representation

Decimal 7727435
Binary 11101011110100101001011 (23 bits)
Octal 0o35364513
Hexadecimal 0x75E94B

Divisor Catalog (8)

1 5 17 85 90,911 454,555 1,545,487 7,727,435

Collatz Trajectory (111 steps to reach 1)

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

7,727,435 23,182,306 11,591,153 34,773,460 17,386,730 8,693,365 26,080,096 13,040,048 6,520,024 3,260,012 1,630,006 815,003 2,445,010 1,222,505 3,667,516 1,833,758 916,879 2,750,638 1,375,319 4,125,958 2,062,979 6,188,938 3,094,469 9,283,408 4,641,704 2,320,852 1,160,426 580,213 1,740,640 870,320 435,160 217,580 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170

More profiles

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