λ
Integer Codex

7,397,731

11 × 672521
Deficient Odd Composite

For 7,397,731, the 4 positive divisors have a total of 8,070,264. Removing 7,397,731 leaves 672,533, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 672521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,070,264
Proper Divisor Sum 672,533
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7397729 ← → #7397749

Radix Representation

Decimal 7397731
Binary 11100001110000101100011 (23 bits)
Octal 0o34160543
Hexadecimal 0x70E163

Divisor Catalog (4)

1 11 672,521 7,397,731

Collatz Trajectory (80 steps to reach 1)

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

7,397,731 22,193,194 11,096,597 33,289,792 16,644,896 8,322,448 4,161,224 2,080,612 1,040,306 520,153 1,560,460 780,230 390,115 1,170,346 585,173 1,755,520 877,760 438,880 219,440 109,720 54,860 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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