9,315,015

3 × 5 × 53 × 11717

For 9,315,015, the 16 positive divisors have a total of 15,186,528. Removing 9,315,015 leaves 5,871,513, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 11717

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,186,528

Proper Divisor Sum 5,871,513

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9315001 ← → #9315029

Radix Representation

Decimal	9315015
Binary	100011100010001011000111 (24 bits)
Octal	0o43421307
Hexadecimal	0x8E22C7

Divisor Catalog (16)

1 3 5 15 53 159 265 795 11,717 35,151 58,585 175,755 621,001 1,863,003 3,105,005 9,315,015

Collatz Trajectory (150 steps to reach 1)

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

9,315,015 27,945,046 13,972,523 41,917,570 20,958,785 62,876,356 31,438,178 15,719,089 47,157,268 23,578,634 11,789,317 35,367,952 17,683,976 8,841,988 4,420,994 2,210,497 6,631,492 3,315,746 1,657,873 4,973,620 2,486,810 1,243,405 3,730,216 1,865,108 932,554 466,277 1,398,832 699,416 349,708 174,854 87,427 262,282 131,141 393,424 196,712 98,356 49,178 24,589 73,768 36,884 18,442 9,221 27,664 13,832 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274

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