9,507,024

2⁴ × 3³ × 59 × 373

9,507,024 has digital root 9. The neighboring primes are 9507007 and 9507031; its proper-divisor sum differs from the starting integer by 8,811,552.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 59 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 27,825,600

Proper Divisor Sum 18,318,576

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9507007 ← → #9507031

Radix Representation

Decimal	9507024
Binary	100100010001000011010000 (24 bits)
Octal	0o44210320
Hexadecimal	0x9110D0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 373 432 472 531 708 746 944 1,062 1,119 1,416 1,492 1,593 2,124 2,238 2,832 2,984 3,186 3,357 4,248 4,476 5,968 6,372 6,714 8,496 8,952 10,071 12,744 13,428 17,904 20,142 22,007 25,488 26,856 40,284 44,014 53,712

Collatz Trajectory (75 steps to reach 1)

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

9,507,024 4,753,512 2,376,756 1,188,378 594,189 1,782,568 891,284 445,642 222,821 668,464 334,232 167,116 83,558 41,779 125,338 62,669 188,008 94,004 47,002 23,501 70,504 35,252 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280

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