λ
Harmonic Matrix

9,763,615

5 × 23 × 59 × 1439
Deficient Odd Composite

9,763,615 has digital root 1. The neighboring primes are 9763613 and 9763651; its proper-divisor sum differs from the starting integer by -7,085,630.

Prime Factor Structure

Factorization String 5 × 23 × 59 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,441,600
Proper Divisor Sum 2,677,985
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9763613 ← → #9763651

Radix Representation

Decimal 9763615
Binary 100101001111101100011111 (24 bits)
Octal 0o45175437
Hexadecimal 0x94FB1F

Divisor Catalog (16)

1 5 23 59 115 295 1,357 1,439 6,785 7,195 33,097 84,901 165,485 424,505 1,952,723 9,763,615

Collatz Trajectory (220 steps to reach 1)

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

9,763,615 29,290,846 14,645,423 43,936,270 21,968,135 65,904,406 32,952,203 98,856,610 49,428,305 148,284,916 74,142,458 37,071,229 111,213,688 55,606,844 27,803,422 13,901,711 41,705,134 20,852,567 62,557,702 31,278,851 93,836,554 46,918,277 140,754,832 70,377,416 35,188,708 17,594,354 8,797,177 26,391,532 13,195,766 6,597,883 19,793,650 9,896,825 29,690,476 14,845,238 7,422,619 22,267,858 11,133,929 33,401,788 16,700,894 8,350,447 25,051,342 12,525,671 37,577,014 18,788,507 56,365,522 28,182,761 84,548,284 42,274,142 21,137,071 63,411,214 31,705,607 95,116,822 47,558,411 142,675,234 71,337,617 214,012,852 107,006,426 53,503,213 160,509,640 80,254,820

More profiles

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