4,636,084

2² × 73 × 15877

4,636,084 factors as 2^2 × 73 × 15877. Its 12 positive divisors give a proper-divisor sum of 3,588,720, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 15877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,224,804

Proper Divisor Sum 3,588,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4636039 ← → #4636111

Radix Representation

Decimal	4636084
Binary	10001101011110110110100 (23 bits)
Octal	0o21536664
Hexadecimal	0x46BDB4

Divisor Catalog (12)

1 2 4 73 146 292 15,877 31,754 63,508 1,159,021 2,318,042 4,636,084

Collatz Trajectory (100 steps to reach 1)

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

4,636,084 2,318,042 1,159,021 3,477,064 1,738,532 869,266 434,633 1,303,900 651,950 325,975 977,926 488,963 1,466,890 733,445 2,200,336 1,100,168 550,084 275,042 137,521 412,564 206,282 103,141 309,424 154,712 77,356 38,678 19,339 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817

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