λ
Integer Codex

1,497,363

3 × 7 × 113 × 631
Deficient Odd Composite

For 1,497,363, the 16 positive divisors have a total of 2,305,536. Removing 1,497,363 leaves 808,173, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 113 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,305,536
Proper Divisor Sum 808,173
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1497359 ← → #1497407

Radix Representation

Decimal 1497363
Binary 101101101100100010011 (21 bits)
Octal 0o5554423
Hexadecimal 0x16D913

Divisor Catalog (16)

1 3 7 21 113 339 631 791 1,893 2,373 4,417 13,251 71,303 213,909 499,121 1,497,363

Collatz Trajectory (225 steps to reach 1)

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

1,497,363 4,492,090 2,246,045 6,738,136 3,369,068 1,684,534 842,267 2,526,802 1,263,401 3,790,204 1,895,102 947,551 2,842,654 1,421,327 4,263,982 2,131,991 6,395,974 3,197,987 9,593,962 4,796,981 14,390,944 7,195,472 3,597,736 1,798,868 899,434 449,717 1,349,152 674,576 337,288 168,644 84,322 42,161 126,484 63,242 31,621 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502

More profiles

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