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Atlas › Integer Profiles › Node 9,327,370

9,327,370

2 × 5 × 13 × 157 × 457
Deficient Even Composite

9,327,370 factors as 2 × 5 × 13 × 157 × 457. Its 32 positive divisors give a proper-divisor sum of 8,908,358, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 157 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,235,728
Proper Divisor Sum 8,908,358
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9327361 ← → #9327389

Radix Representation

Decimal 9327370
Binary 100011100101001100001010 (24 bits)
Octal 0o43451412
Hexadecimal 0x8E530A

Divisor Catalog (32)

1 2 5 10 13 26 65 130 157 314 457 785 914 1,570 2,041 2,285 4,082 4,570 5,941 10,205 11,882 20,410 29,705 59,410 71,749 143,498 358,745 717,490 932,737 1,865,474 4,663,685 9,327,370

Collatz Trajectory (155 steps to reach 1)

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

9,327,370 4,663,685 13,991,056 6,995,528 3,497,764 1,748,882 874,441 2,623,324 1,311,662 655,831 1,967,494 983,747 2,951,242 1,475,621 4,426,864 2,213,432 1,106,716 553,358 276,679 830,038 415,019 1,245,058 622,529 1,867,588 933,794 466,897 1,400,692 700,346 350,173 1,050,520 525,260 262,630 131,315 393,946 196,973 590,920 295,460 147,730 73,865 221,596 110,798 55,399 166,198 83,099 249,298 124,649 373,948 186,974 93,487 280,462 140,231 420,694 210,347 631,042 315,521 946,564 473,282 236,641 709,924 354,962

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