9,508,340

2² × 5 × 475417

9,508,340 factors as 2^2 × 5 × 475417. Its 12 positive divisors give a proper-divisor sum of 10,459,216, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 475417

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,967,556

Proper Divisor Sum 10,459,216

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9508337 ← → #9508357

Radix Representation

Decimal	9508340
Binary	100100010001010111110100 (24 bits)
Octal	0o44212764
Hexadecimal	0x9115F4

Divisor Catalog (12)

1 2 4 5 10 20 475,417 950,834 1,901,668 2,377,085 4,754,170 9,508,340

Collatz Trajectory (150 steps to reach 1)

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

9,508,340 4,754,170 2,377,085 7,131,256 3,565,628 1,782,814 891,407 2,674,222 1,337,111 4,011,334 2,005,667 6,017,002 3,008,501 9,025,504 4,512,752 2,256,376 1,128,188 564,094 282,047 846,142 423,071 1,269,214 634,607 1,903,822 951,911 2,855,734 1,427,867 4,283,602 2,141,801 6,425,404 3,212,702 1,606,351 4,819,054 2,409,527 7,228,582 3,614,291 10,842,874 5,421,437 16,264,312 8,132,156 4,066,078 2,033,039 6,099,118 3,049,559 9,148,678 4,574,339 13,723,018 6,861,509 20,584,528 10,292,264 5,146,132 2,573,066 1,286,533 3,859,600 1,929,800 964,900 482,450 241,225 723,676 361,838

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