λ
Harmonic Matrix

3,623,038

2 × 1811519
Deficient Even Composite

3,623,038 has digital root 7. The neighboring primes are 3623017 and 3623069; its proper-divisor sum differs from the starting integer by -1,811,516.

Prime Factor Structure

Factorization String 2 × 1811519
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,434,560
Proper Divisor Sum 1,811,522
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3623017 ← → #3623069

Radix Representation

Decimal 3623038
Binary 1101110100100001111110 (22 bits)
Octal 0o15644176
Hexadecimal 0x37487E

Divisor Catalog (4)

1 2 1,811,519 3,623,038

Collatz Trajectory (234 steps to reach 1)

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

3,623,038 1,811,519 5,434,558 2,717,279 8,151,838 4,075,919 12,227,758 6,113,879 18,341,638 9,170,819 27,512,458 13,756,229 41,268,688 20,634,344 10,317,172 5,158,586 2,579,293 7,737,880 3,868,940 1,934,470 967,235 2,901,706 1,450,853 4,352,560 2,176,280 1,088,140 544,070 272,035 816,106 408,053 1,224,160 612,080 306,040 153,020 76,510 38,255 114,766 57,383 172,150 86,075 258,226 129,113 387,340 193,670 96,835 290,506 145,253 435,760 217,880 108,940 54,470 27,235 81,706 40,853 122,560 61,280 30,640 15,320 7,660 3,830

More profiles

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