λ
Ratio Atlas

5,802,968

23 × 725371
Deficient Even Composite

5,802,968 factors as 2^3 × 725371. Its 8 positive divisors give a proper-divisor sum of 5,077,612, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 725371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,880,580
Proper Divisor Sum 5,077,612
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5802947 ← → #5802997

Radix Representation

Decimal 5802968
Binary 10110001000101111011000 (23 bits)
Octal 0o26105730
Hexadecimal 0x588BD8

Divisor Catalog (8)

1 2 4 8 725,371 1,450,742 2,901,484 5,802,968

Collatz Trajectory (214 steps to reach 1)

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

5,802,968 2,901,484 1,450,742 725,371 2,176,114 1,088,057 3,264,172 1,632,086 816,043 2,448,130 1,224,065 3,672,196 1,836,098 918,049 2,754,148 1,377,074 688,537 2,065,612 1,032,806 516,403 1,549,210 774,605 2,323,816 1,161,908 580,954 290,477 871,432 435,716 217,858 108,929 326,788 163,394 81,697 245,092 122,546 61,273 183,820 91,910 45,955 137,866 68,933 206,800 103,400 51,700 25,850 12,925 38,776 19,388 9,694 4,847 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814

More profiles

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