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Atlas › Integer Profiles › Node 9,342,002

9,342,002

2 × 23 × 29 × 47 × 149
Deficient Even Composite

9,342,002 factors as 2 × 23 × 29 × 47 × 149. Its 32 positive divisors give a proper-divisor sum of 6,209,998, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 47 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,552,000
Proper Divisor Sum 6,209,998
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9341999 ← → #9342007

Radix Representation

Decimal 9342002
Binary 100011101000110000110010 (24 bits)
Octal 0o43506062
Hexadecimal 0x8E8C32

Divisor Catalog (32)

1 2 23 29 46 47 58 94 149 298 667 1,081 1,334 1,363 2,162 2,726 3,427 4,321 6,854 7,003 8,642 14,006 31,349 62,698 99,383 161,069 198,766 203,087 322,138 406,174 4,671,001 9,342,002

Collatz Trajectory (75 steps to reach 1)

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

9,342,002 4,671,001 14,013,004 7,006,502 3,503,251 10,509,754 5,254,877 15,764,632 7,882,316 3,941,158 1,970,579 5,911,738 2,955,869 8,867,608 4,433,804 2,216,902 1,108,451 3,325,354 1,662,677 4,988,032 2,494,016 1,247,008 623,504 311,752 155,876 77,938 38,969 116,908 58,454 29,227 87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46

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