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Atlas › Integer Profiles › Node 4,615,233

4,615,233

3 × 7 × 19 × 43 × 269
Deficient Odd Composite

4,615,233 factors as 3 × 7 × 19 × 43 × 269. Its 32 positive divisors give a proper-divisor sum of 2,987,967, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 43 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,603,200
Proper Divisor Sum 2,987,967
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4615229 ← → #4615241

Radix Representation

Decimal 4615233
Binary 10001100110110001000001 (23 bits)
Octal 0o21466101
Hexadecimal 0x466C41

Divisor Catalog (32)

1 3 7 19 21 43 57 129 133 269 301 399 807 817 903 1,883 2,451 5,111 5,649 5,719 11,567 15,333 17,157 34,701 35,777 80,969 107,331 219,773 242,907 659,319 1,538,411 4,615,233

Collatz Trajectory (193 steps to reach 1)

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

4,615,233 13,845,700 6,922,850 3,461,425 10,384,276 5,192,138 2,596,069 7,788,208 3,894,104 1,947,052 973,526 486,763 1,460,290 730,145 2,190,436 1,095,218 547,609 1,642,828 821,414 410,707 1,232,122 616,061 1,848,184 924,092 462,046 231,023 693,070 346,535 1,039,606 519,803 1,559,410 779,705 2,339,116 1,169,558 584,779 1,754,338 877,169 2,631,508 1,315,754 657,877 1,973,632 986,816 493,408 246,704 123,352 61,676 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879

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