λ
Integer Codex

1,224,867

3 × 7 × 17 × 47 × 73
Deficient Odd Composite

For 1,224,867, the 32 positive divisors have a total of 2,045,952. Removing 1,224,867 leaves 821,085, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 47 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,045,952
Proper Divisor Sum 821,085
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1224863 ← → #1224869

Radix Representation

Decimal 1224867
Binary 100101011000010100011 (21 bits)
Octal 0o4530243
Hexadecimal 0x12B0A3

Divisor Catalog (32)

1 3 7 17 21 47 51 73 119 141 219 329 357 511 799 987 1,241 1,533 2,397 3,431 3,723 5,593 8,687 10,293 16,779 24,017 26,061 58,327 72,051 174,981 408,289 1,224,867

Collatz Trajectory (173 steps to reach 1)

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

1,224,867 3,674,602 1,837,301 5,511,904 2,755,952 1,377,976 688,988 344,494 172,247 516,742 258,371 775,114 387,557 1,162,672 581,336 290,668 145,334 72,667 218,002 109,001 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489 103,468 51,734 25,867 77,602 38,801 116,404 58,202 29,101 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771

More profiles

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