λ
Harmonic Matrix

3,776,713

3776713
Deficient Odd Prime

3,776,713 has digital root 7. The neighboring primes are 3776683 and 3776719; its proper-divisor sum differs from the starting integer by -3,776,712.

Prime Factor Structure

Factorization String 3776713
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,776,714
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3776683 ← → #3776719

Radix Representation

Decimal 3776713
Binary 1110011010000011001001 (22 bits)
Octal 0o16320311
Hexadecimal 0x39A0C9

Divisor Catalog (2)

Collatz Trajectory (203 steps to reach 1)

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

3,776,713 11,330,140 5,665,070 2,832,535 8,497,606 4,248,803 12,746,410 6,373,205 19,119,616 9,559,808 4,779,904 2,389,952 1,194,976 597,488 298,744 149,372 74,686 37,343 112,030 56,015 168,046 84,023 252,070 126,035 378,106 189,053 567,160 283,580 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260 2,299,630 1,149,815 3,449,446 1,724,723 5,174,170

More profiles

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