4,456,582

2 × 13 × 181 × 947

4,456,582 factors as 2 × 13 × 181 × 947. Its 16 positive divisors give a proper-divisor sum of 2,789,930, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 13 × 181 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,246,512

Proper Divisor Sum 2,789,930

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4456579 ← → #4456589

Radix Representation

Decimal	4456582
Binary	10001000000000010000110 (23 bits)
Octal	0o21000206
Hexadecimal	0x440086

Divisor Catalog (16)

1 2 13 26 181 362 947 1,894 2,353 4,706 12,311 24,622 171,407 342,814 2,228,291 4,456,582

Collatz Trajectory (87 steps to reach 1)

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

4,456,582 2,228,291 6,684,874 3,342,437 10,027,312 5,013,656 2,506,828 1,253,414 626,707 1,880,122 940,061 2,820,184 1,410,092 705,046 352,523 1,057,570 528,785 1,586,356 793,178 396,589 1,189,768 594,884 297,442 148,721 446,164 223,082 111,541 334,624 167,312 83,656 41,828 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131

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