λ
Harmonic Matrix

3,668,162

2 × 47 × 39023
Deficient Even Composite

3,668,162 has digital root 5. The neighboring primes are 3668129 and 3668179; its proper-divisor sum differs from the starting integer by -1,716,868.

Prime Factor Structure

Factorization String 2 × 47 × 39023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,619,456
Proper Divisor Sum 1,951,294
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3668129 ← → #3668179

Radix Representation

Decimal 3668162
Binary 1101111111100011000010 (22 bits)
Octal 0o15774302
Hexadecimal 0x37F8C2

Divisor Catalog (8)

1 2 47 94 39,023 78,046 1,834,081 3,668,162

Collatz Trajectory (172 steps to reach 1)

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

3,668,162 1,834,081 5,502,244 2,751,122 1,375,561 4,126,684 2,063,342 1,031,671 3,095,014 1,547,507 4,642,522 2,321,261 6,963,784 3,481,892 1,740,946 870,473 2,611,420 1,305,710 652,855 1,958,566 979,283 2,937,850 1,468,925 4,406,776 2,203,388 1,101,694 550,847 1,652,542 826,271 2,478,814 1,239,407 3,718,222 1,859,111 5,577,334 2,788,667 8,366,002 4,183,001 12,549,004 6,274,502 3,137,251 9,411,754 4,705,877 14,117,632 7,058,816 3,529,408 1,764,704 882,352 441,176 220,588 110,294 55,147 165,442 82,721 248,164 124,082 62,041 186,124 93,062 46,531 139,594

More profiles

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