4,465,615

5 × 7² × 11 × 1657

4,465,615 factors as 5 × 7^2 × 11 × 1657. Its 24 positive divisors give a proper-divisor sum of 2,338,817, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,804,432

Proper Divisor Sum 2,338,817

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4465609 ← → #4465619

Radix Representation

Decimal	4465615
Binary	10001000010001111001111 (23 bits)
Octal	0o21021717
Hexadecimal	0x4423CF

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

4,465,615 13,396,846 6,698,423 20,095,270 10,047,635 30,142,906 15,071,453 45,214,360 22,607,180 11,303,590 5,651,795 16,955,386 8,477,693 25,433,080 12,716,540 6,358,270 3,179,135 9,537,406 4,768,703 14,306,110 7,153,055 21,459,166 10,729,583 32,188,750 16,094,375 48,283,126 24,141,563 72,424,690 36,212,345 108,637,036 54,318,518 27,159,259 81,477,778 40,738,889 122,216,668 61,108,334 30,554,167 91,662,502 45,831,251 137,493,754 68,746,877 206,240,632 103,120,316 51,560,158 25,780,079 77,340,238 38,670,119 116,010,358 58,005,179 174,015,538 87,007,769 261,023,308 130,511,654 65,255,827 195,767,482 97,883,741 293,651,224 146,825,612 73,412,806 36,706,403

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