λ
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Atlas › Integer Profiles › Node 64,404,232

64,404,232

23 × 23 × 571 × 613
Deficient Even Composite

64,404,232 factors as 2^3 × 23 × 571 × 613. Its 32 positive divisors give a proper-divisor sum of 62,030,648, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 571 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 126,434,880
Proper Divisor Sum 62,030,648
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #64404199 ← → #64404233

Radix Representation

Decimal 64404232
Binary 11110101101011101100001000 (26 bits)
Octal 0o365535410
Hexadecimal 0x3D6BB08

Divisor Catalog (32)

1 2 4 8 23 46 92 184 571 613 1,142 1,226 2,284 2,452 4,568 4,904 13,133 14,099 26,266 28,198 52,532 56,396 105,064 112,792 350,023 700,046 1,400,092 2,800,184 8,050,529 16,101,058 32,202,116 64,404,232

Collatz Trajectory (233 steps to reach 1)

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

64,404,232 32,202,116 16,101,058 8,050,529 24,151,588 12,075,794 6,037,897 18,113,692 9,056,846 4,528,423 13,585,270 6,792,635 20,377,906 10,188,953 30,566,860 15,283,430 7,641,715 22,925,146 11,462,573 34,387,720 17,193,860 8,596,930 4,298,465 12,895,396 6,447,698 3,223,849 9,671,548 4,835,774 2,417,887 7,253,662 3,626,831 10,880,494 5,440,247 16,320,742 8,160,371 24,481,114 12,240,557 36,721,672 18,360,836 9,180,418 4,590,209 13,770,628 6,885,314 3,442,657 10,327,972 5,163,986 2,581,993 7,745,980 3,872,990 1,936,495 5,809,486 2,904,743 8,714,230 4,357,115 13,071,346 6,535,673 19,607,020 9,803,510 4,901,755 14,705,266

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