λ
Harmonic Matrix

9,535,401

34 × 117721
Deficient Odd Composite

9,535,401 has digital root 9. The neighboring primes are 9535367 and 9535417; its proper-divisor sum differs from the starting integer by -4,826,440.

Prime Factor Structure

Factorization String 3^4 × 117721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 14,244,362
Proper Divisor Sum 4,708,961
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9535367 ← → #9535417

Radix Representation

Decimal 9535401
Binary 100100010111111110101001 (24 bits)
Octal 0o44277651
Hexadecimal 0x917FA9

Divisor Catalog (10)

1 3 9 27 81 117,721 353,163 1,059,489 3,178,467 9,535,401

Collatz Trajectory (300 steps to reach 1)

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

9,535,401 28,606,204 14,303,102 7,151,551 21,454,654 10,727,327 32,181,982 16,090,991 48,272,974 24,136,487 72,409,462 36,204,731 108,614,194 54,307,097 162,921,292 81,460,646 40,730,323 122,190,970 61,095,485 183,286,456 91,643,228 45,821,614 22,910,807 68,732,422 34,366,211 103,098,634 51,549,317 154,647,952 77,323,976 38,661,988 19,330,994 9,665,497 28,996,492 14,498,246 7,249,123 21,747,370 10,873,685 32,621,056 16,310,528 8,155,264 4,077,632 2,038,816 1,019,408 509,704 254,852 127,426 63,713 191,140 95,570 47,785 143,356 71,678 35,839 107,518 53,759 161,278 80,639 241,918 120,959 362,878

More profiles

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