λ
Harmonic Matrix

3,768,277

3768277
Deficient Odd Prime

3,768,277 has digital root 4. The neighboring primes are 3768257 and 3768287; its proper-divisor sum differs from the starting integer by -3,768,276.

Prime Factor Structure

Factorization String 3768277
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,768,278
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3768257 ← → #3768287

Radix Representation

Decimal 3768277
Binary 1110010111111111010101 (22 bits)
Octal 0o16277725
Hexadecimal 0x397FD5

Divisor Catalog (2)

1 3,768,277

Collatz Trajectory (110 steps to reach 1)

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

3,768,277 11,304,832 5,652,416 2,826,208 1,413,104 706,552 353,276 176,638 88,319 264,958 132,479 397,438 198,719 596,158 298,079 894,238 447,119 1,341,358 670,679 2,012,038 1,006,019 3,018,058 1,509,029 4,527,088 2,263,544 1,131,772 565,886 282,943 848,830 424,415 1,273,246 636,623 1,909,870 954,935 2,864,806 1,432,403 4,297,210 2,148,605 6,445,816 3,222,908 1,611,454 805,727 2,417,182 1,208,591 3,625,774 1,812,887 5,438,662 2,719,331 8,157,994 4,078,997 12,236,992 6,118,496 3,059,248 1,529,624 764,812 382,406 191,203 573,610 286,805 860,416

More profiles

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