λ
Harmonic Matrix

9,087,913

9087913
Deficient Odd Prime

9,087,913 has digital root 1. The neighboring primes are 9087901 and 9087917; its proper-divisor sum differs from the starting integer by -9,087,912.

Prime Factor Structure

Factorization String 9087913
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,087,914
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9087901 ← → #9087917

Radix Representation

Decimal 9087913
Binary 100010101010101110101001 (24 bits)
Octal 0o42525651
Hexadecimal 0x8AABA9

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

9,087,913 27,263,740 13,631,870 6,815,935 20,447,806 10,223,903 30,671,710 15,335,855 46,007,566 23,003,783 69,011,350 34,505,675 103,517,026 51,758,513 155,275,540 77,637,770 38,818,885 116,456,656 58,228,328 29,114,164 14,557,082 7,278,541 21,835,624 10,917,812 5,458,906 2,729,453 8,188,360 4,094,180 2,047,090 1,023,545 3,070,636 1,535,318 767,659 2,302,978 1,151,489 3,454,468 1,727,234 863,617 2,590,852 1,295,426 647,713 1,943,140 971,570 485,785 1,457,356 728,678 364,339 1,093,018 546,509 1,639,528 819,764 409,882 204,941 614,824 307,412 153,706 76,853 230,560 115,280 57,640

More profiles

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