λ
Integer Codex

1,763,815

5 × 61 × 5783
Deficient Odd Composite

For 1,763,815, the 8 positive divisors have a total of 2,151,648. Removing 1,763,815 leaves 387,833, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 61 × 5783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,151,648
Proper Divisor Sum 387,833
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1763813 ← → #1763821

Radix Representation

Decimal 1763815
Binary 110101110100111100111 (21 bits)
Octal 0o6564747
Hexadecimal 0x1AE9E7

Divisor Catalog (8)

1 5 61 305 5,783 28,915 352,763 1,763,815

Collatz Trajectory (326 steps to reach 1)

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

1,763,815 5,291,446 2,645,723 7,937,170 3,968,585 11,905,756 5,952,878 2,976,439 8,929,318 4,464,659 13,393,978 6,696,989 20,090,968 10,045,484 5,022,742 2,511,371 7,534,114 3,767,057 11,301,172 5,650,586 2,825,293 8,475,880 4,237,940 2,118,970 1,059,485 3,178,456 1,589,228 794,614 397,307 1,191,922 595,961 1,787,884 893,942 446,971 1,340,914 670,457 2,011,372 1,005,686 502,843 1,508,530 754,265 2,262,796 1,131,398 565,699 1,697,098 848,549 2,545,648 1,272,824 636,412 318,206 159,103 477,310 238,655 715,966 357,983 1,073,950 536,975 1,610,926 805,463 2,416,390

More profiles

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