7,072,992

2⁵ × 3² × 41 × 599

7,072,992 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 41 × 599 and its 72 divisors sum to 20,638,800.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 41 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,638,800

Proper Divisor Sum 13,565,808

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7072987 ← → #7072993

Radix Representation

Decimal	7072992
Binary	11010111110110011100000 (23 bits)
Octal	0o32766340
Hexadecimal	0x6BECE0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 599 656 738 984 1,198 1,312 1,476 1,797 1,968 2,396 2,952 3,594 3,936 4,792 5,391 5,904 7,188 9,584 10,782 11,808 14,376 19,168 21,564 24,559 28,752 43,128 49,118 57,504 73,677 86,256 98,236 147,354 172,512 196,472

Collatz Trajectory (72 steps to reach 1)

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

7,072,992 3,536,496 1,768,248 884,124 442,062 221,031 663,094 331,547 994,642 497,321 1,491,964 745,982 372,991 1,118,974 559,487 1,678,462 839,231 2,517,694 1,258,847 3,776,542 1,888,271 5,664,814 2,832,407 8,497,222 4,248,611 12,745,834 6,372,917 19,118,752 9,559,376 4,779,688 2,389,844 1,194,922 597,461 1,792,384 896,192 448,096 224,048 112,024 56,012 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208

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