λ
Harmonic Matrix

3,776,607

32 × 419623
Deficient Odd Composite

3,776,607 has digital root 9. The neighboring primes are 3776603 and 3776609; its proper-divisor sum differs from the starting integer by -2,098,102.

Prime Factor Structure

Factorization String 3^2 × 419623
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,455,112
Proper Divisor Sum 1,678,505
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3776603 ← → #3776609

Radix Representation

Decimal 3776607
Binary 1110011010000001011111 (22 bits)
Octal 0o16320137
Hexadecimal 0x39A05F

Divisor Catalog (6)

1 3 9 419,623 1,258,869 3,776,607

Collatz Trajectory (247 steps to reach 1)

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

3,776,607 11,329,822 5,664,911 16,994,734 8,497,367 25,492,102 12,746,051 38,238,154 19,119,077 57,357,232 28,678,616 14,339,308 7,169,654 3,584,827 10,754,482 5,377,241 16,131,724 8,065,862 4,032,931 12,098,794 6,049,397 18,148,192 9,074,096 4,537,048 2,268,524 1,134,262 567,131 1,701,394 850,697 2,552,092 1,276,046 638,023 1,914,070 957,035 2,871,106 1,435,553 4,306,660 2,153,330 1,076,665 3,229,996 1,614,998 807,499 2,422,498 1,211,249 3,633,748 1,816,874 908,437 2,725,312 1,362,656 681,328 340,664 170,332 85,166 42,583 127,750 63,875 191,626 95,813 287,440 143,720

More profiles

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