10,045,636

2² × 373 × 6733

10,045,636 factors as 2^2 × 373 × 6733. Its 12 positive divisors give a proper-divisor sum of 7,583,976, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 373 × 6733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,629,612

Proper Divisor Sum 7,583,976

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10045627 ← → #10045667

Radix Representation

Decimal	10045636
Binary	100110010100100011000100 (24 bits)
Octal	0o46244304
Hexadecimal	0x9948C4

Divisor Catalog (12)

1 2 4 373 746 1,492 6,733 13,466 26,932 2,511,409 5,022,818 10,045,636

Collatz Trajectory (114 steps to reach 1)

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

10,045,636 5,022,818 2,511,409 7,534,228 3,767,114 1,883,557 5,650,672 2,825,336 1,412,668 706,334 353,167 1,059,502 529,751 1,589,254 794,627 2,383,882 1,191,941 3,575,824 1,787,912 893,956 446,978 223,489 670,468 335,234 167,617 502,852 251,426 125,713 377,140 188,570 94,285 282,856 141,428 70,714 35,357 106,072 53,036 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772

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