λ
Integer Codex

7,834,828

22 × 1958707
Deficient Even Composite

For 7,834,828, the 6 positive divisors have a total of 13,710,956. Removing 7,834,828 leaves 5,876,128, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 1958707
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,710,956
Proper Divisor Sum 5,876,128
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7834823 ← → #7834837

Radix Representation

Decimal 7834828
Binary 11101111000110011001100 (23 bits)
Octal 0o35706314
Hexadecimal 0x778CCC

Divisor Catalog (6)

1 2 4 1,958,707 3,917,414 7,834,828

Collatz Trajectory (155 steps to reach 1)

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

7,834,828 3,917,414 1,958,707 5,876,122 2,938,061 8,814,184 4,407,092 2,203,546 1,101,773 3,305,320 1,652,660 826,330 413,165 1,239,496 619,748 309,874 154,937 464,812 232,406 116,203 348,610 174,305 522,916 261,458 130,729 392,188 196,094 98,047 294,142 147,071 441,214 220,607 661,822 330,911 992,734 496,367 1,489,102 744,551 2,233,654 1,116,827 3,350,482 1,675,241 5,025,724 2,512,862 1,256,431 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660

More profiles

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