λ
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Atlas › Integer Profiles › Node 3,004,280

3,004,280

23 × 5 × 19 × 59 × 67
Abundant Even Composite

3,004,280 factors as 2^3 × 5 × 19 × 59 × 67. Its 64 positive divisors give a proper-divisor sum of 4,339,720, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 59 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,344,000
Proper Divisor Sum 4,339,720
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3004279 ← → #3004301

Radix Representation

Decimal 3004280
Binary 1011011101011101111000 (22 bits)
Octal 0o13353570
Hexadecimal 0x2DD778

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 38 40 59 67 76 95 118 134 152 190 236 268 295 335 380 472 536 590 670 760 1,121 1,180 1,273 1,340 2,242 2,360 2,546 2,680 3,953 4,484 5,092 5,605 6,365 7,906 8,968 10,184 11,210 12,730 15,812 19,765 22,420 25,460 31,624 39,530 44,840 50,920 75,107 79,060 150,214 158,120 300,428 375,535

Collatz Trajectory (164 steps to reach 1)

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

3,004,280 1,502,140 751,070 375,535 1,126,606 563,303 1,689,910 844,955 2,534,866 1,267,433 3,802,300 1,901,150 950,575 2,851,726 1,425,863 4,277,590 2,138,795 6,416,386 3,208,193 9,624,580 4,812,290 2,406,145 7,218,436 3,609,218 1,804,609 5,413,828 2,706,914 1,353,457 4,060,372 2,030,186 1,015,093 3,045,280 1,522,640 761,320 380,660 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988

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