λ
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Atlas › Integer Profiles › Node 6,076,280

6,076,280

23 × 5 × 7 × 21701
Abundant Even Composite

6,076,280 factors as 2^3 × 5 × 7 × 21701. Its 32 positive divisors give a proper-divisor sum of 9,549,160, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 21701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,625,440
Proper Divisor Sum 9,549,160
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6076277 ← → #6076303

Radix Representation

Decimal 6076280
Binary 10111001011011101111000 (23 bits)
Octal 0o27133570
Hexadecimal 0x5CB778

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 21,701 43,402 86,804 108,505 151,907 173,608 217,010 303,814 434,020 607,628 759,535 868,040 1,215,256 1,519,070 3,038,140 6,076,280

Collatz Trajectory (108 steps to reach 1)

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

6,076,280 3,038,140 1,519,070 759,535 2,278,606 1,139,303 3,417,910 1,708,955 5,126,866 2,563,433 7,690,300 3,845,150 1,922,575 5,767,726 2,883,863 8,651,590 4,325,795 12,977,386 6,488,693 19,466,080 9,733,040 4,866,520 2,433,260 1,216,630 608,315 1,824,946 912,473 2,737,420 1,368,710 684,355 2,053,066 1,026,533 3,079,600 1,539,800 769,900 384,950 192,475 577,426 288,713 866,140 433,070 216,535 649,606 324,803 974,410 487,205 1,461,616 730,808 365,404 182,702 91,351 274,054 137,027 411,082 205,541 616,624 308,312 154,156 77,078 38,539

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