15,624,827

3643 × 4289

15,624,827 factors as 3643 × 4289. Its 4 positive divisors give a proper-divisor sum of 7,933, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3643 × 4289

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 15,632,760

Proper Divisor Sum 7,933

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #15624809 ← → #15624863

Radix Representation

Decimal	15624827
Binary	111011100110101001111011 (24 bits)
Octal	0o73465173
Hexadecimal	0xEE6A7B

Divisor Catalog (4)

1 3,643 4,289 15,624,827

Collatz Trajectory (125 steps to reach 1)

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

15,624,827 46,874,482 23,437,241 70,311,724 35,155,862 17,577,931 52,733,794 26,366,897 79,100,692 39,550,346 19,775,173 59,325,520 29,662,760 14,831,380 7,415,690 3,707,845 11,123,536 5,561,768 2,780,884 1,390,442 695,221 2,085,664 1,042,832 521,416 260,708 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519

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