λ
Harmonic Matrix

3,515,324

22 × 878831
Deficient Even Composite

3,515,324 has digital root 5. The neighboring primes are 3515321 and 3515329; its proper-divisor sum differs from the starting integer by -878,824.

Prime Factor Structure

Factorization String 2^2 × 878831
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,151,824
Proper Divisor Sum 2,636,500
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3515321 ← → #3515329

Radix Representation

Decimal 3515324
Binary 1101011010001110111100 (22 bits)
Octal 0o15321674
Hexadecimal 0x35A3BC

Divisor Catalog (6)

1 2 4 878,831 1,757,662 3,515,324

Collatz Trajectory (177 steps to reach 1)

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

3,515,324 1,757,662 878,831 2,636,494 1,318,247 3,954,742 1,977,371 5,932,114 2,966,057 8,898,172 4,449,086 2,224,543 6,673,630 3,336,815 10,010,446 5,005,223 15,015,670 7,507,835 22,523,506 11,261,753 33,785,260 16,892,630 8,446,315 25,338,946 12,669,473 38,008,420 19,004,210 9,502,105 28,506,316 14,253,158 7,126,579 21,379,738 10,689,869 32,069,608 16,034,804 8,017,402 4,008,701 12,026,104 6,013,052 3,006,526 1,503,263 4,509,790 2,254,895 6,764,686 3,382,343 10,147,030 5,073,515 15,220,546 7,610,273 22,830,820 11,415,410 5,707,705 17,123,116 8,561,558 4,280,779 12,842,338 6,421,169 19,263,508 9,631,754 4,815,877

More profiles

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