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Atlas › Integer Profiles › Node 3,069,760

3,069,760

26 × 5 × 53 × 181
Abundant Even Composite

3,069,760 factors as 2^6 × 5 × 53 × 181. Its 56 positive divisors give a proper-divisor sum of 4,419,176, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 53 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,488,936
Proper Divisor Sum 4,419,176
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3069757 ← → #3069769

Radix Representation

Decimal 3069760
Binary 1011101101011101000000 (22 bits)
Octal 0o13553500
Hexadecimal 0x2ED740

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 181 212 265 320 362 424 530 724 848 905 1,060 1,448 1,696 1,810 2,120 2,896 3,392 3,620 4,240 5,792 7,240 8,480 9,593 11,584 14,480 16,960 19,186 28,960 38,372 47,965 57,920 76,744 95,930 153,488 191,860 306,976 383,720 613,952 767,440 1,534,880 3,069,760

Collatz Trajectory (89 steps to reach 1)

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

3,069,760 1,534,880 767,440 383,720 191,860 95,930 47,965 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280

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