λ
Sigma Notebook

9,536,605

5 × 13 × 23 × 6379
Deficient Odd Composite

9,536,605 is odd and not a perfect square. Its factorization is 5 × 13 × 23 × 6379 and its 16 divisors sum to 12,862,080.

Prime Factor Structure

Factorization String 5 × 13 × 23 × 6379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,862,080
Proper Divisor Sum 3,325,475
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9536603 ← → #9536627

Radix Representation

Decimal 9536605
Binary 100100011000010001011101 (24 bits)
Octal 0o44302135
Hexadecimal 0x91845D

Divisor Catalog (16)

1 5 13 23 65 115 299 1,495 6,379 31,895 82,927 146,717 414,635 733,585 1,907,321 9,536,605

Collatz Trajectory (101 steps to reach 1)

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

9,536,605 28,609,816 14,304,908 7,152,454 3,576,227 10,728,682 5,364,341 16,093,024 8,046,512 4,023,256 2,011,628 1,005,814 502,907 1,508,722 754,361 2,263,084 1,131,542 565,771 1,697,314 848,657 2,545,972 1,272,986 636,493 1,909,480 954,740 477,370 238,685 716,056 358,028 179,014 89,507 268,522 134,261 402,784 201,392 100,696 50,348 25,174 12,587 37,762 18,881 56,644 28,322 14,161 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084

More profiles

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