7,962,492

2² × 3 × 663541

7,962,492 has digital root 3. The neighboring primes are 7962491 and 7962497; its proper-divisor sum differs from the starting integer by 2,654,192.

Prime Factor Structure

Factorization String 2^2 × 3 × 663541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,579,176

Proper Divisor Sum 10,616,684

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7962491 ← → #7962497

Radix Representation

Decimal	7962492
Binary	11110010111111101111100 (23 bits)
Octal	0o36277574
Hexadecimal	0x797F7C

Divisor Catalog (12)

1 2 3 4 6 12 663,541 1,327,082 1,990,623 2,654,164 3,981,246 7,962,492

Collatz Trajectory (67 steps to reach 1)

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

7,962,492 3,981,246 1,990,623 5,971,870 2,985,935 8,957,806 4,478,903 13,436,710 6,718,355 20,155,066 10,077,533 30,232,600 15,116,300 7,558,150 3,779,075 11,337,226 5,668,613 17,005,840 8,502,920 4,251,460 2,125,730 1,062,865 3,188,596 1,594,298 797,149 2,391,448 1,195,724 597,862 298,931 896,794 448,397 1,345,192 672,596 336,298 168,149 504,448 252,224 126,112 63,056 31,528 15,764 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40

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