λ
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Atlas › Integer Profiles › Node 7,489,240

7,489,240

23 × 5 × 11 × 17021
Abundant Even Composite

7,489,240 factors as 2^3 × 5 × 11 × 17021. Its 32 positive divisors give a proper-divisor sum of 10,894,520, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,383,760
Proper Divisor Sum 10,894,520
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7489213 ← → #7489241

Radix Representation

Decimal 7489240
Binary 11100100100011011011000 (23 bits)
Octal 0o34443330
Hexadecimal 0x7246D8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 17,021 34,042 68,084 85,105 136,168 170,210 187,231 340,420 374,462 680,840 748,924 936,155 1,497,848 1,872,310 3,744,620 7,489,240

Collatz Trajectory (160 steps to reach 1)

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

7,489,240 3,744,620 1,872,310 936,155 2,808,466 1,404,233 4,212,700 2,106,350 1,053,175 3,159,526 1,579,763 4,739,290 2,369,645 7,108,936 3,554,468 1,777,234 888,617 2,665,852 1,332,926 666,463 1,999,390 999,695 2,999,086 1,499,543 4,498,630 2,249,315 6,747,946 3,373,973 10,121,920 5,060,960 2,530,480 1,265,240 632,620 316,310 158,155 474,466 237,233 711,700 355,850 177,925 533,776 266,888 133,444 66,722 33,361 100,084 50,042 25,021 75,064 37,532 18,766 9,383 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506

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