λ
Harmonic Matrix

3,684,918

2 × 3 × 614153
Abundant Even Composite

3,684,918 has digital root 3. The neighboring primes are 3684913 and 3684929; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 614153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,369,848
Proper Divisor Sum 3,684,930
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3684913 ← → #3684929

Radix Representation

Decimal 3684918
Binary 1110000011101000110110 (22 bits)
Octal 0o16035066
Hexadecimal 0x383A36

Divisor Catalog (8)

1 2 3 6 614,153 1,228,306 1,842,459 3,684,918

Collatz Trajectory (278 steps to reach 1)

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

3,684,918 1,842,459 5,527,378 2,763,689 8,291,068 4,145,534 2,072,767 6,218,302 3,109,151 9,327,454 4,663,727 13,991,182 6,995,591 20,986,774 10,493,387 31,480,162 15,740,081 47,220,244 23,610,122 11,805,061 35,415,184 17,707,592 8,853,796 4,426,898 2,213,449 6,640,348 3,320,174 1,660,087 4,980,262 2,490,131 7,470,394 3,735,197 11,205,592 5,602,796 2,801,398 1,400,699 4,202,098 2,101,049 6,303,148 3,151,574 1,575,787 4,727,362 2,363,681 7,091,044 3,545,522 1,772,761 5,318,284 2,659,142 1,329,571 3,988,714 1,994,357 5,983,072 2,991,536 1,495,768 747,884 373,942 186,971 560,914 280,457 841,372

More profiles

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