λ
Integer Codex

1,471,976

23 × 11 × 43 × 389
Abundant Even Composite

For 1,471,976, the 32 positive divisors have a total of 3,088,800. Removing 1,471,976 leaves 1,616,824, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 11 × 43 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,088,800
Proper Divisor Sum 1,616,824
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1471937 ← → #1472017

Radix Representation

Decimal 1471976
Binary 101100111010111101000 (21 bits)
Octal 0o5472750
Hexadecimal 0x1675E8

Divisor Catalog (32)

1 2 4 8 11 22 43 44 86 88 172 344 389 473 778 946 1,556 1,892 3,112 3,784 4,279 8,558 16,727 17,116 33,454 34,232 66,908 133,816 183,997 367,994 735,988 1,471,976

Collatz Trajectory (181 steps to reach 1)

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

1,471,976 735,988 367,994 183,997 551,992 275,996 137,998 68,999 206,998 103,499 310,498 155,249 465,748 232,874 116,437 349,312 174,656 87,328 43,664 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310

More profiles

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