λ
Ratio Atlas

9,492,637

7 × 11 × 43 × 47 × 61
Deficient Odd Composite

9,492,637 factors as 7 × 11 × 43 × 47 × 61. Its 32 positive divisors give a proper-divisor sum of 3,077,987, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 7 × 11 × 43 × 47 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,570,624
Proper Divisor Sum 3,077,987
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9492619 ← → #9492643

Radix Representation

Decimal 9492637
Binary 100100001101100010011101 (24 bits)
Octal 0o44154235
Hexadecimal 0x90D89D

Divisor Catalog (32)

1 7 11 43 47 61 77 301 329 427 473 517 671 2,021 2,623 2,867 3,311 3,619 4,697 14,147 18,361 20,069 22,231 28,853 31,537 123,281 155,617 201,971 220,759 862,967 1,356,091 9,492,637

Collatz Trajectory (150 steps to reach 1)

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

9,492,637 28,477,912 14,238,956 7,119,478 3,559,739 10,679,218 5,339,609 16,018,828 8,009,414 4,004,707 12,014,122 6,007,061 18,021,184 9,010,592 4,505,296 2,252,648 1,126,324 563,162 281,581 844,744 422,372 211,186 105,593 316,780 158,390 79,195 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673

More profiles

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