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Atlas › Integer Profiles › Node 7,205,680

7,205,680

24 × 5 × 90071
Abundant Even Composite

7,205,680 factors as 2^4 × 5 × 90071. Its 20 positive divisors give a proper-divisor sum of 9,547,712, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 90071
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,753,392
Proper Divisor Sum 9,547,712
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7205657 ← → #7205687

Radix Representation

Decimal 7205680
Binary 11011011111001100110000 (23 bits)
Octal 0o33371460
Hexadecimal 0x6DF330

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 90,071 180,142 360,284 450,355 720,568 900,710 1,441,136 1,801,420 3,602,840 7,205,680

Collatz Trajectory (160 steps to reach 1)

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

7,205,680 3,602,840 1,801,420 900,710 450,355 1,351,066 675,533 2,026,600 1,013,300 506,650 253,325 759,976 379,988 189,994 94,997 284,992 142,496 71,248 35,624 17,812 8,906 4,453 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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