λ
Harmonic Matrix

7,078,700

22 × 52 × 71 × 997
Abundant Even Composite

7,078,700 has digital root 2. The neighboring primes are 7078699 and 7078711; its proper-divisor sum differs from the starting integer by 1,435,352.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 71 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,592,752
Proper Divisor Sum 8,514,052
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7078699 ← → #7078711

Radix Representation

Decimal 7078700
Binary 11011000000001100101100 (23 bits)
Octal 0o33001454
Hexadecimal 0x6C032C

Divisor Catalog (36)

1 2 4 5 10 20 25 50 71 100 142 284 355 710 997 1,420 1,775 1,994 3,550 3,988 4,985 7,100 9,970 19,940 24,925 49,850 70,787 99,700 141,574 283,148 353,935 707,870 1,415,740 1,769,675 3,539,350 7,078,700

Collatz Trajectory (98 steps to reach 1)

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

7,078,700 3,539,350 1,769,675 5,309,026 2,654,513 7,963,540 3,981,770 1,990,885 5,972,656 2,986,328 1,493,164 746,582 373,291 1,119,874 559,937 1,679,812 839,906 419,953 1,259,860 629,930 314,965 944,896 472,448 236,224 118,112 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209

More profiles

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