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Atlas › Integer Profiles › Node 6,976,480

6,976,480

25 × 5 × 7 × 6229
Abundant Even Composite

6,976,480 factors as 2^5 × 5 × 7 × 6229. Its 48 positive divisors give a proper-divisor sum of 11,863,040, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 6229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,839,520
Proper Divisor Sum 11,863,040
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6976471 ← → #6976483

Radix Representation

Decimal 6976480
Binary 11010100111001111100000 (23 bits)
Octal 0o32471740
Hexadecimal 0x6A73E0

Divisor Catalog (48)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1,120 6,229 12,458 24,916 31,145 43,603 49,832 62,290 87,206 99,664 124,580 174,412 199,328 218,015 249,160 348,824 436,030 498,320 697,648 872,060 996,640 1,395,296 1,744,120 3,488,240 6,976,480

Collatz Trajectory (103 steps to reach 1)

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

6,976,480 3,488,240 1,744,120 872,060 436,030 218,015 654,046 327,023 981,070 490,535 1,471,606 735,803 2,207,410 1,103,705 3,311,116 1,655,558 827,779 2,483,338 1,241,669 3,725,008 1,862,504 931,252 465,626 232,813 698,440 349,220 174,610 87,305 261,916 130,958 65,479 196,438 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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