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Atlas › Integer Profiles › Node 6,976,416

6,976,416

25 × 3 × 72671
Abundant Even Composite

6,976,416 factors as 2^5 × 3 × 72671. Its 24 positive divisors give a proper-divisor sum of 11,336,928, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 72671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,313,344
Proper Divisor Sum 11,336,928
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6976393 ← → #6976421

Radix Representation

Decimal 6976416
Binary 11010100111001110100000 (23 bits)
Octal 0o32471640
Hexadecimal 0x6A73A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 72,671 145,342 218,013 290,684 436,026 581,368 872,052 1,162,736 1,744,104 2,325,472 3,488,208 6,976,416

Collatz Trajectory (103 steps to reach 1)

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

6,976,416 3,488,208 1,744,104 872,052 436,026 218,013 654,040 327,020 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917 785,752 392,876 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888 52,444 26,222 13,111 39,334 19,667 59,002 29,501 88,504 44,252

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