λ
Integer Codex

1,190,472

23 × 3 × 49603
Abundant Even Composite

For 1,190,472, the 16 positive divisors have a total of 2,976,240. Removing 1,190,472 leaves 1,785,768, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 49603
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,976,240
Proper Divisor Sum 1,785,768
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1190467 ← → #1190473

Radix Representation

Decimal 1190472
Binary 100100010101001001000 (21 bits)
Octal 0o4425110
Hexadecimal 0x122A48

Divisor Catalog (16)

1 2 3 4 6 8 12 24 49,603 99,206 148,809 198,412 297,618 396,824 595,236 1,190,472

Collatz Trajectory (67 steps to reach 1)

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

1,190,472 595,236 297,618 148,809 446,428 223,214 111,607 334,822 167,411 502,234 251,117 753,352 376,676 188,338 94,169 282,508 141,254 70,627 211,882 105,941 317,824 158,912 79,456 39,728 19,864 9,932 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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