λ
Harmonic Matrix

3,692,891

107 × 34513
Deficient Odd Composite

3,692,891 has digital root 2. The neighboring primes are 3692873 and 3692929; its proper-divisor sum differs from the starting integer by -3,658,270.

Prime Factor Structure

Factorization String 107 × 34513
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,727,512
Proper Divisor Sum 34,621
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3692873 ← → #3692929

Radix Representation

Decimal 3692891
Binary 1110000101100101011011 (22 bits)
Octal 0o16054533
Hexadecimal 0x38595B

Divisor Catalog (4)

1 107 34,513 3,692,891

Collatz Trajectory (164 steps to reach 1)

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

3,692,891 11,078,674 5,539,337 16,618,012 8,309,006 4,154,503 12,463,510 6,231,755 18,695,266 9,347,633 28,042,900 14,021,450 7,010,725 21,032,176 10,516,088 5,258,044 2,629,022 1,314,511 3,943,534 1,971,767 5,915,302 2,957,651 8,872,954 4,436,477 13,309,432 6,654,716 3,327,358 1,663,679 4,991,038 2,495,519 7,486,558 3,743,279 11,229,838 5,614,919 16,844,758 8,422,379 25,267,138 12,633,569 37,900,708 18,950,354 9,475,177 28,425,532 14,212,766 7,106,383 21,319,150 10,659,575 31,978,726 15,989,363 47,968,090 23,984,045 71,952,136 35,976,068 17,988,034 8,994,017 26,982,052 13,491,026 6,745,513 20,236,540 10,118,270 5,059,135

More profiles

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