λ
Harmonic Matrix

3,747,011

607 × 6173
Deficient Odd Composite

3,747,011 has digital root 5. The neighboring primes are 3746983 and 3747019; its proper-divisor sum differs from the starting integer by -3,740,230.

Prime Factor Structure

Factorization String 607 × 6173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,753,792
Proper Divisor Sum 6,781
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3746983 ← → #3747019

Radix Representation

Decimal 3747011
Binary 1110010010110011000011 (22 bits)
Octal 0o16226303
Hexadecimal 0x392CC3

Divisor Catalog (4)

1 607 6,173 3,747,011

Collatz Trajectory (159 steps to reach 1)

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

3,747,011 11,241,034 5,620,517 16,861,552 8,430,776 4,215,388 2,107,694 1,053,847 3,161,542 1,580,771 4,742,314 2,371,157 7,113,472 3,556,736 1,778,368 889,184 444,592 222,296 111,148 55,574 27,787 83,362 41,681 125,044 62,522 31,261 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964

More profiles

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