9,508,250

2 × 5³ × 73 × 521

9,508,250 has digital root 2. The neighboring primes are 9508217 and 9508273; its proper-divisor sum differs from the starting integer by -938,596.

Prime Factor Structure

Factorization String 2 × 5^3 × 73 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,077,904

Proper Divisor Sum 8,569,654

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9508217 ← → #9508273

Radix Representation

Decimal	9508250
Binary	100100010001010110011010 (24 bits)
Octal	0o44212632
Hexadecimal	0x91159A

Divisor Catalog (32)

1 2 5 10 25 50 73 125 146 250 365 521 730 1,042 1,825 2,605 3,650 5,210 9,125 13,025 18,250 26,050 38,033 65,125 76,066 130,250 190,165 380,330 950,825 1,901,650 4,754,125 9,508,250

Collatz Trajectory (101 steps to reach 1)

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

9,508,250 4,754,125 14,262,376 7,131,188 3,565,594 1,782,797 5,348,392 2,674,196 1,337,098 668,549 2,005,648 1,002,824 501,412 250,706 125,353 376,060 188,030 94,015 282,046 141,023 423,070 211,535 634,606 317,303 951,910 475,955 1,427,866 713,933 2,141,800 1,070,900 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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