λ
Harmonic Matrix

9,705,721

127 × 76423
Deficient Odd Composite

9,705,721 has digital root 4. The neighboring primes are 9705719 and 9705727; its proper-divisor sum differs from the starting integer by -9,629,170.

Prime Factor Structure

Factorization String 127 × 76423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,782,272
Proper Divisor Sum 76,551
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9705719 ← → #9705727

Radix Representation

Decimal 9705721
Binary 100101000001100011111001 (24 bits)
Octal 0o45014371
Hexadecimal 0x9418F9

Divisor Catalog (4)

1 127 76,423 9,705,721

Collatz Trajectory (119 steps to reach 1)

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

9,705,721 29,117,164 14,558,582 7,279,291 21,837,874 10,918,937 32,756,812 16,378,406 8,189,203 24,567,610 12,283,805 36,851,416 18,425,708 9,212,854 4,606,427 13,819,282 6,909,641 20,728,924 10,364,462 5,182,231 15,546,694 7,773,347 23,320,042 11,660,021 34,980,064 17,490,032 8,745,016 4,372,508 2,186,254 1,093,127 3,279,382 1,639,691 4,919,074 2,459,537 7,378,612 3,689,306 1,844,653 5,533,960 2,766,980 1,383,490 691,745 2,075,236 1,037,618 518,809 1,556,428 778,214 389,107 1,167,322 583,661 1,750,984 875,492 437,746 218,873 656,620 328,310 164,155 492,466 246,233 738,700 369,350

More profiles

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