λ
Harmonic Matrix

4,026,832

24 × 251677
Deficient Even Composite

4,026,832 has digital root 7. The neighboring primes are 4026829 and 4026857; its proper-divisor sum differs from the starting integer by -251,646.

Prime Factor Structure

Factorization String 2^4 × 251677
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 7,802,018
Proper Divisor Sum 3,775,186
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4026829 ← → #4026857

Radix Representation

Decimal 4026832
Binary 1111010111000111010000 (22 bits)
Octal 0o17270720
Hexadecimal 0x3D71D0

Divisor Catalog (10)

1 2 4 8 16 251,677 503,354 1,006,708 2,013,416 4,026,832

Collatz Trajectory (92 steps to reach 1)

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

4,026,832 2,013,416 1,006,708 503,354 251,677 755,032 377,516 188,758 94,379 283,138 141,569 424,708 212,354 106,177 318,532 159,266 79,633 238,900 119,450 59,725 179,176 89,588 44,794 22,397 67,192 33,596 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264

More profiles

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