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Atlas › Integer Profiles › Node 7,299,012

7,299,012

22 × 3 × 7 × 31 × 2803
Abundant Even Composite

7,299,012 factors as 2^2 × 3 × 7 × 31 × 2803. Its 48 positive divisors give a proper-divisor sum of 12,800,060, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 31 × 2803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,099,072
Proper Divisor Sum 12,800,060
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7299011 ← → #7299023

Radix Representation

Decimal 7299012
Binary 11011110101111111000100 (23 bits)
Octal 0o33657704
Hexadecimal 0x6F5FC4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1,302 2,604 2,803 5,606 8,409 11,212 16,818 19,621 33,636 39,242 58,863 78,484 86,893 117,726 173,786 235,452 260,679 347,572 521,358 608,251 1,042,716 1,216,502 1,824,753 2,433,004 3,649,506 7,299,012

Collatz Trajectory (204 steps to reach 1)

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

7,299,012 3,649,506 1,824,753 5,474,260 2,737,130 1,368,565 4,105,696 2,052,848 1,026,424 513,212 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279 924,838 462,419 1,387,258 693,629 2,080,888 1,040,444 520,222 260,111 780,334 390,167 1,170,502 585,251 1,755,754 877,877 2,633,632 1,316,816 658,408 329,204 164,602 82,301 246,904 123,452 61,726 30,863 92,590 46,295

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