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4,494,724

22 × 132 × 61 × 109
Deficient Even Composite

4,494,724 factors as 2^2 × 13^2 × 61 × 109. Its 36 positive divisors give a proper-divisor sum of 4,241,696, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 61 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,736,420
Proper Divisor Sum 4,241,696
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4494719 ← → #4494727

Radix Representation

Decimal 4494724
Binary 10001001001010110000100 (23 bits)
Octal 0o21112604
Hexadecimal 0x449584

Divisor Catalog (36)

1 2 4 13 26 52 61 109 122 169 218 244 338 436 676 793 1,417 1,586 2,834 3,172 5,668 6,649 10,309 13,298 18,421 20,618 26,596 36,842 41,236 73,684 86,437 172,874 345,748 1,123,681 2,247,362 4,494,724

Collatz Trajectory (149 steps to reach 1)

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

4,494,724 2,247,362 1,123,681 3,371,044 1,685,522 842,761 2,528,284 1,264,142 632,071 1,896,214 948,107 2,844,322 1,422,161 4,266,484 2,133,242 1,066,621 3,199,864 1,599,932 799,966 399,983 1,199,950 599,975 1,799,926 899,963 2,699,890 1,349,945 4,049,836 2,024,918 1,012,459 3,037,378 1,518,689 4,556,068 2,278,034 1,139,017 3,417,052 1,708,526 854,263 2,562,790 1,281,395 3,844,186 1,922,093 5,766,280 2,883,140 1,441,570 720,785 2,162,356 1,081,178 540,589 1,621,768 810,884 405,442 202,721 608,164 304,082 152,041 456,124 228,062 114,031 342,094 171,047

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