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Atlas › Integer Profiles › Node 2,949,760

2,949,760

27 × 5 × 11 × 419
Abundant Even Composite

2,949,760 factors as 2^7 × 5 × 11 × 419. Its 64 positive divisors give a proper-divisor sum of 4,761,440, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 11 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,711,200
Proper Divisor Sum 4,761,440
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2949733 ← → #2949763

Radix Representation

Decimal 2949760
Binary 1011010000001010000000 (22 bits)
Octal 0o13201200
Hexadecimal 0x2D0280

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 419 440 640 704 838 880 1,408 1,676 1,760 2,095 3,352 3,520 4,190 4,609 6,704 7,040 8,380 9,218 13,408 16,760 18,436 23,045 26,816 33,520 36,872 46,090 53,632 67,040 73,744 92,180 134,080 147,488 184,360 268,160 294,976 368,720

Collatz Trajectory (182 steps to reach 1)

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

2,949,760 1,474,880 737,440 368,720 184,360 92,180 46,090 23,045 69,136 34,568 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

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