7,005,996

2² × 3² × 71 × 2741

7,005,996 has the prime decomposition 2^2 × 3^2 × 71 × 2741. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 71 × 2741

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,965,584

Proper Divisor Sum 10,959,588

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7005983 ← → #7005997

Radix Representation

Decimal	7005996
Binary	11010101110011100101100 (23 bits)
Octal	0o32563454
Hexadecimal	0x6AE72C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1,278 2,556 2,741 5,482 8,223 10,964 16,446 24,669 32,892 49,338 98,676 194,611 389,222 583,833 778,444 1,167,666 1,751,499 2,335,332 3,502,998 7,005,996

Collatz Trajectory (222 steps to reach 1)

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

7,005,996 3,502,998 1,751,499 5,254,498 2,627,249 7,881,748 3,940,874 1,970,437 5,911,312 2,955,656 1,477,828 738,914 369,457 1,108,372 554,186 277,093 831,280 415,640 207,820 103,910 51,955 155,866 77,933 233,800 116,900 58,450 29,225 87,676 43,838 21,919 65,758 32,879 98,638 49,319 147,958 73,979 221,938 110,969 332,908 166,454 83,227 249,682 124,841 374,524 187,262 93,631 280,894 140,447 421,342 210,671 632,014 316,007 948,022 474,011 1,422,034 711,017 2,133,052 1,066,526 533,263 1,599,790

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