9,915,004

2² × 11 × 225341

9,915,004 factors as 2^2 × 11 × 225341. Its 12 positive divisors give a proper-divisor sum of 9,013,724, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 225341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,928,728

Proper Divisor Sum 9,013,724

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9914987 ← → #9915041

Radix Representation

Decimal	9915004
Binary	100101110100101001111100 (24 bits)
Octal	0o45645174
Hexadecimal	0x974A7C

Divisor Catalog (12)

1 2 4 11 22 44 225,341 450,682 901,364 2,478,751 4,957,502 9,915,004

Collatz Trajectory (207 steps to reach 1)

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

9,915,004 4,957,502 2,478,751 7,436,254 3,718,127 11,154,382 5,577,191 16,731,574 8,365,787 25,097,362 12,548,681 37,646,044 18,823,022 9,411,511 28,234,534 14,117,267 42,351,802 21,175,901 63,527,704 31,763,852 15,881,926 7,940,963 23,822,890 11,911,445 35,734,336 17,867,168 8,933,584 4,466,792 2,233,396 1,116,698 558,349 1,675,048 837,524 418,762 209,381 628,144 314,072 157,036 78,518 39,259 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890

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