λ
Harmonic Matrix

3,936,727

3936727
Deficient Odd Prime

3,936,727 has digital root 1. The neighboring primes are 3936683 and 3936731; its proper-divisor sum differs from the starting integer by -3,936,726.

Prime Factor Structure

Factorization String 3936727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,936,728
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3936683 ← → #3936731

Radix Representation

Decimal 3936727
Binary 1111000001000111010111 (22 bits)
Octal 0o17010727
Hexadecimal 0x3C11D7

Divisor Catalog (2)

Collatz Trajectory (123 steps to reach 1)

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

3,936,727 11,810,182 5,905,091 17,715,274 8,857,637 26,572,912 13,286,456 6,643,228 3,321,614 1,660,807 4,982,422 2,491,211 7,473,634 3,736,817 11,210,452 5,605,226 2,802,613 8,407,840 4,203,920 2,101,960 1,050,980 525,490 262,745 788,236 394,118 197,059 591,178 295,589 886,768 443,384 221,692 110,846 55,423 166,270 83,135 249,406 124,703 374,110 187,055 561,166 280,583 841,750 420,875 1,262,626 631,313 1,893,940 946,970 473,485 1,420,456 710,228 355,114 177,557 532,672 266,336 133,168 66,584 33,292 16,646 8,323 24,970

More profiles

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