3,632,028

2² × 3 × 293 × 1033

3,632,028 has digital root 6. The neighboring primes are 3632023 and 3632029; its proper-divisor sum differs from the starting integer by 1,247,832.

Prime Factor Structure

Factorization String 2^2 × 3 × 293 × 1033

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,511,888

Proper Divisor Sum 4,879,860

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3632023 ← → #3632029

Radix Representation

Decimal	3632028
Binary	1101110110101110011100 (22 bits)
Octal	0o15665634
Hexadecimal	0x376B9C

Divisor Catalog (24)

1 2 3 4 6 12 293 586 879 1,033 1,172 1,758 2,066 3,099 3,516 4,132 6,198 12,396 302,669 605,338 908,007 1,210,676 1,816,014 3,632,028

Collatz Trajectory (203 steps to reach 1)

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

3,632,028 1,816,014 908,007 2,724,022 1,362,011 4,086,034 2,043,017 6,129,052 3,064,526 1,532,263 4,596,790 2,298,395 6,895,186 3,447,593 10,342,780 5,171,390 2,585,695 7,757,086 3,878,543 11,635,630 5,817,815 17,453,446 8,726,723 26,180,170 13,090,085 39,270,256 19,635,128 9,817,564 4,908,782 2,454,391 7,363,174 3,681,587 11,044,762 5,522,381 16,567,144 8,283,572 4,141,786 2,070,893 6,212,680 3,106,340 1,553,170 776,585 2,329,756 1,164,878 582,439 1,747,318 873,659 2,620,978 1,310,489 3,931,468 1,965,734 982,867 2,948,602 1,474,301 4,422,904 2,211,452 1,105,726 552,863 1,658,590 829,295

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