λ
Harmonic Matrix

3,521,148

22 × 3 × 139 × 2111
Abundant Even Composite

3,521,148 has digital root 6. The neighboring primes are 3521143 and 3521153; its proper-divisor sum differs from the starting integer by 1,236,744.

Prime Factor Structure

Factorization String 2^2 × 3 × 139 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,279,040
Proper Divisor Sum 4,757,892
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3521143 ← → #3521153

Radix Representation

Decimal 3521148
Binary 1101011011101001111100 (22 bits)
Octal 0o15335174
Hexadecimal 0x35BA7C

Divisor Catalog (24)

1 2 3 4 6 12 139 278 417 556 834 1,668 2,111 4,222 6,333 8,444 12,666 25,332 293,429 586,858 880,287 1,173,716 1,760,574 3,521,148

Collatz Trajectory (97 steps to reach 1)

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

3,521,148 1,760,574 880,287 2,640,862 1,320,431 3,961,294 1,980,647 5,941,942 2,970,971 8,912,914 4,456,457 13,369,372 6,684,686 3,342,343 10,027,030 5,013,515 15,040,546 7,520,273 22,560,820 11,280,410 5,640,205 16,920,616 8,460,308 4,230,154 2,115,077 6,345,232 3,172,616 1,586,308 793,154 396,577 1,189,732 594,866 297,433 892,300 446,150 223,075 669,226 334,613 1,003,840 501,920 250,960 125,480 62,740 31,370 15,685 47,056 23,528 11,764 5,882 2,941 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725

More profiles

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