λ
Integer Codex

5,147,997

3 × 71 × 24169
Deficient Odd Composite

For 5,147,997, the 8 positive divisors have a total of 6,960,960. Removing 5,147,997 leaves 1,812,963, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 71 × 24169
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,960,960
Proper Divisor Sum 1,812,963
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5147981 ← → #5148007

Radix Representation

Decimal 5147997
Binary 10011101000110101011101 (23 bits)
Octal 0o23506535
Hexadecimal 0x4E8D5D

Divisor Catalog (8)

1 3 71 213 24,169 72,507 1,715,999 5,147,997

Collatz Trajectory (126 steps to reach 1)

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

5,147,997 15,443,992 7,721,996 3,860,998 1,930,499 5,791,498 2,895,749 8,687,248 4,343,624 2,171,812 1,085,906 542,953 1,628,860 814,430 407,215 1,221,646 610,823 1,832,470 916,235 2,748,706 1,374,353 4,123,060 2,061,530 1,030,765 3,092,296 1,546,148 773,074 386,537 1,159,612 579,806 289,903 869,710 434,855 1,304,566 652,283 1,956,850 978,425 2,935,276 1,467,638 733,819 2,201,458 1,100,729 3,302,188 1,651,094 825,547 2,476,642 1,238,321 3,714,964 1,857,482 928,741 2,786,224 1,393,112 696,556 348,278 174,139 522,418 261,209 783,628 391,814 195,907

More profiles

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