8,415,575

5² × 7 × 19 × 2531

8,415,575 factors as 5^2 × 7 × 19 × 2531. Its 24 positive divisors give a proper-divisor sum of 4,143,145, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 19 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,558,720

Proper Divisor Sum 4,143,145

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8415557 ← → #8415577

Radix Representation

Decimal	8415575
Binary	100000000110100101010111 (24 bits)
Octal	0o40064527
Hexadecimal	0x806957

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

8,415,575 25,246,726 12,623,363 37,870,090 18,935,045 56,805,136 28,402,568 14,201,284 7,100,642 3,550,321 10,650,964 5,325,482 2,662,741 7,988,224 3,994,112 1,997,056 998,528 499,264 249,632 124,816 62,408 31,204 15,602 7,801 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250

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