λ
Harmonic Matrix

9,061,975

52 × 13 × 27883
Deficient Odd Composite

9,061,975 has digital root 1. The neighboring primes are 9061973 and 9061981; its proper-divisor sum differs from the starting integer by -6,022,294.

Prime Factor Structure

Factorization String 5^2 × 13 × 27883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,101,656
Proper Divisor Sum 3,039,681
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9061973 ← → #9061981

Radix Representation

Decimal 9061975
Binary 100010100100011001010111 (24 bits)
Octal 0o42443127
Hexadecimal 0x8A4657

Divisor Catalog (12)

1 5 13 25 65 325 27,883 139,415 362,479 697,075 1,812,395 9,061,975

Collatz Trajectory (93 steps to reach 1)

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

9,061,975 27,185,926 13,592,963 40,778,890 20,389,445 61,168,336 30,584,168 15,292,084 7,646,042 3,823,021 11,469,064 5,734,532 2,867,266 1,433,633 4,300,900 2,150,450 1,075,225 3,225,676 1,612,838 806,419 2,419,258 1,209,629 3,628,888 1,814,444 907,222 453,611 1,360,834 680,417 2,041,252 1,020,626 510,313 1,530,940 765,470 382,735 1,148,206 574,103 1,722,310 861,155 2,583,466 1,291,733 3,875,200 1,937,600 968,800 484,400 242,200 121,100 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580

More profiles

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