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Atlas › Integer Profiles › Node 4,094,564

4,094,564

22 × 61 × 97 × 173
Deficient Even Composite

4,094,564 factors as 2^2 × 61 × 97 × 173. Its 24 positive divisors give a proper-divisor sum of 3,306,004, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 97 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,400,568
Proper Divisor Sum 3,306,004
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4094561 ← → #4094579

Radix Representation

Decimal 4094564
Binary 1111100111101001100100 (22 bits)
Octal 0o17475144
Hexadecimal 0x3E7A64

Divisor Catalog (24)

1 2 4 61 97 122 173 194 244 346 388 692 5,917 10,553 11,834 16,781 21,106 23,668 33,562 42,212 67,124 1,023,641 2,047,282 4,094,564

Collatz Trajectory (110 steps to reach 1)

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

4,094,564 2,047,282 1,023,641 3,070,924 1,535,462 767,731 2,303,194 1,151,597 3,454,792 1,727,396 863,698 431,849 1,295,548 647,774 323,887 971,662 485,831 1,457,494 728,747 2,186,242 1,093,121 3,279,364 1,639,682 819,841 2,459,524 1,229,762 614,881 1,844,644 922,322 461,161 1,383,484 691,742 345,871 1,037,614 518,807 1,556,422 778,211 2,334,634 1,167,317 3,501,952 1,750,976 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039 123,118 61,559 184,678 92,339 277,018 138,509 415,528 207,764 103,882 51,941 155,824

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