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Atlas › Integer Profiles › Node 7,890,330

7,890,330

2 × 3 × 5 × 7 × 37573
Abundant Even Composite

7,890,330 factors as 2 × 3 × 5 × 7 × 37573. Its 32 positive divisors give a proper-divisor sum of 13,752,294, so this integer is abundant. The Collatz stopping time is 292 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 37573
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,642,624
Proper Divisor Sum 13,752,294
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7890319 ← → #7890331

Radix Representation

Decimal 7890330
Binary 11110000110010110011010 (23 bits)
Octal 0o36062632
Hexadecimal 0x78659A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 37,573 75,146 112,719 187,865 225,438 263,011 375,730 526,022 563,595 789,033 1,127,190 1,315,055 1,578,066 2,630,110 3,945,165 7,890,330

Collatz Trajectory (292 steps to reach 1)

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

7,890,330 3,945,165 11,835,496 5,917,748 2,958,874 1,479,437 4,438,312 2,219,156 1,109,578 554,789 1,664,368 832,184 416,092 208,046 104,023 312,070 156,035 468,106 234,053 702,160 351,080 175,540 87,770 43,885 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057

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