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Atlas › Integer Profiles › Node 11,622,825

11,622,825

33 × 52 × 67 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 67 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,754,560
Proper Divisor Sum 10,131,735
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11622817 ← → #11622827

Radix Representation

Decimal 11622825
Binary 101100010101100110101001 (24 bits)
Octal 0o54254651
Hexadecimal 0xB159A9

Divisor Catalog (48)

1 3 5 9 15 25 27 45 67 75 135 201 225 257 335 603 675 771 1,005 1,285 1,675 1,809 2,313 3,015 3,855 5,025 6,425 6,939 9,045 11,565 15,075 17,219 19,275 34,695 45,225 51,657 57,825 86,095 154,971 173,475 258,285 430,475 464,913 774,855 1,291,425 2,324,565 3,874,275 11,622,825

Collatz Trajectory (277 steps to reach 1)

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

11,622,825 34,868,476 17,434,238 8,717,119 26,151,358 13,075,679 39,227,038 19,613,519 58,840,558 29,420,279 88,260,838 44,130,419 132,391,258 66,195,629 198,586,888 99,293,444 49,646,722 24,823,361 74,470,084 37,235,042 18,617,521 55,852,564 27,926,282 13,963,141 41,889,424 20,944,712 10,472,356 5,236,178 2,618,089 7,854,268 3,927,134 1,963,567 5,890,702 2,945,351 8,836,054 4,418,027 13,254,082 6,627,041 19,881,124 9,940,562 4,970,281 14,910,844 7,455,422 3,727,711 11,183,134 5,591,567 16,774,702 8,387,351 25,162,054 12,581,027 37,743,082 18,871,541 56,614,624 28,307,312 14,153,656 7,076,828 3,538,414 1,769,207 5,307,622 2,653,811

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