λ
Harmonic Matrix

4,831,828

22 × 1207957
Deficient Even Composite

4,831,828 has digital root 7. The neighboring primes are 4831823 and 4831829; its proper-divisor sum differs from the starting integer by -1,207,950.

Prime Factor Structure

Factorization String 2^2 × 1207957
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,455,706
Proper Divisor Sum 3,623,878
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4831823 ← → #4831829

Radix Representation

Decimal 4831828
Binary 10010011011101001010100 (23 bits)
Octal 0o22335124
Hexadecimal 0x49BA54

Divisor Catalog (6)

1 2 4 1,207,957 2,415,914 4,831,828

Collatz Trajectory (206 steps to reach 1)

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

4,831,828 2,415,914 1,207,957 3,623,872 1,811,936 905,968 452,984 226,492 113,246 56,623 169,870 84,935 254,806 127,403 382,210 191,105 573,316 286,658 143,329 429,988 214,994 107,497 322,492 161,246 80,623 241,870 120,935 362,806 181,403 544,210 272,105 816,316 408,158 204,079 612,238 306,119 918,358 459,179 1,377,538 688,769 2,066,308 1,033,154 516,577 1,549,732 774,866 387,433 1,162,300 581,150 290,575 871,726 435,863 1,307,590 653,795 1,961,386 980,693 2,942,080 1,471,040 735,520 367,760 183,880

More profiles

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