λ
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Atlas › Integer Profiles › Node 8,767,976

8,767,976

23 × 7 × 29 × 5399
Abundant Even Composite

8,767,976 factors as 2^3 × 7 × 29 × 5399. Its 32 positive divisors give a proper-divisor sum of 10,672,024, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 5399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,440,000
Proper Divisor Sum 10,672,024
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #8767963 ← → #8767999

Radix Representation

Decimal 8767976
Binary 100001011100100111101000 (24 bits)
Octal 0o41344750
Hexadecimal 0x85C9E8

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1,624 5,399 10,798 21,596 37,793 43,192 75,586 151,172 156,571 302,344 313,142 626,284 1,095,997 1,252,568 2,191,994 4,383,988 8,767,976

Collatz Trajectory (212 steps to reach 1)

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

8,767,976 4,383,988 2,191,994 1,095,997 3,287,992 1,643,996 821,998 410,999 1,232,998 616,499 1,849,498 924,749 2,774,248 1,387,124 693,562 346,781 1,040,344 520,172 260,086 130,043 390,130 195,065 585,196 292,598 146,299 438,898 219,449 658,348 329,174 164,587 493,762 246,881 740,644 370,322 185,161 555,484 277,742 138,871 416,614 208,307 624,922 312,461 937,384 468,692 234,346 117,173 351,520 175,760 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618

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