λ
Integer Codex

1,105,503

3 × 7 × 61 × 863
Deficient Odd Composite

For 1,105,503, the 16 positive divisors have a total of 1,714,176. Removing 1,105,503 leaves 608,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 61 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,714,176
Proper Divisor Sum 608,673
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1105501 ← → #1105513

Radix Representation

Decimal 1105503
Binary 100001101111001011111 (21 bits)
Octal 0o4157137
Hexadecimal 0x10DE5F

Divisor Catalog (16)

1 3 7 21 61 183 427 863 1,281 2,589 6,041 18,123 52,643 157,929 368,501 1,105,503

Collatz Trajectory (72 steps to reach 1)

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

1,105,503 3,316,510 1,658,255 4,974,766 2,487,383 7,462,150 3,731,075 11,193,226 5,596,613 16,789,840 8,394,920 4,197,460 2,098,730 1,049,365 3,148,096 1,574,048 787,024 393,512 196,756 98,378 49,189 147,568 73,784 36,892 18,446 9,223 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34

More profiles

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