λ
Harmonic Matrix

7,988,898

2 × 3 × 101 × 13183
Abundant Even Composite

7,988,898 has digital root 3. The neighboring primes are 7988857 and 7988899; its proper-divisor sum differs from the starting integer by 159,420.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 13183
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,137,216
Proper Divisor Sum 8,148,318
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #7988857 ← → #7988899

Radix Representation

Decimal 7988898
Binary 11110011110011010100010 (23 bits)
Octal 0o36363242
Hexadecimal 0x79E6A2

Divisor Catalog (16)

1 2 3 6 101 202 303 606 13,183 26,366 39,549 79,098 1,331,483 2,662,966 3,994,449 7,988,898

Collatz Trajectory (253 steps to reach 1)

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

7,988,898 3,994,449 11,983,348 5,991,674 2,995,837 8,987,512 4,493,756 2,246,878 1,123,439 3,370,318 1,685,159 5,055,478 2,527,739 7,583,218 3,791,609 11,374,828 5,687,414 2,843,707 8,531,122 4,265,561 12,796,684 6,398,342 3,199,171 9,597,514 4,798,757 14,396,272 7,198,136 3,599,068 1,799,534 899,767 2,699,302 1,349,651 4,048,954 2,024,477 6,073,432 3,036,716 1,518,358 759,179 2,277,538 1,138,769 3,416,308 1,708,154 854,077 2,562,232 1,281,116 640,558 320,279 960,838 480,419 1,441,258 720,629 2,161,888 1,080,944 540,472 270,236 135,118 67,559 202,678 101,339 304,018

More profiles

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