4,456,845

3² × 5 × 99041

4,456,845 factors as 3^2 × 5 × 99041. Its 12 positive divisors give a proper-divisor sum of 3,268,431, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 99041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,725,276

Proper Divisor Sum 3,268,431

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4456831 ← → #4456847

Radix Representation

Decimal	4456845
Binary	10001000000000110001101 (23 bits)
Octal	0o21000615
Hexadecimal	0x44018D

Divisor Catalog (12)

1 3 5 9 15 45 99,041 297,123 495,205 891,369 1,485,615 4,456,845

Collatz Trajectory (180 steps to reach 1)

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

4,456,845 13,370,536 6,685,268 3,342,634 1,671,317 5,013,952 2,506,976 1,253,488 626,744 313,372 156,686 78,343 235,030 117,515 352,546 176,273 528,820 264,410 132,205 396,616 198,308 99,154 49,577 148,732 74,366 37,183 111,550 55,775 167,326 83,663 250,990 125,495 376,486 188,243 564,730 282,365 847,096 423,548 211,774 105,887 317,662 158,831 476,494 238,247 714,742 357,371 1,072,114 536,057 1,608,172 804,086 402,043 1,206,130 603,065 1,809,196 904,598 452,299 1,356,898 678,449 2,035,348 1,017,674

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