λ
Harmonic Matrix

3,355,513

7 × 503 × 953
Deficient Odd Composite

3,355,513 has digital root 7. The neighboring primes are 3355489 and 3355519; its proper-divisor sum differs from the starting integer by -2,864,498.

Prime Factor Structure

Factorization String 7 × 503 × 953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,846,528
Proper Divisor Sum 491,015
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3355489 ← → #3355519

Radix Representation

Decimal 3355513
Binary 1100110011001101111001 (22 bits)
Octal 0o14631571
Hexadecimal 0x333379

Divisor Catalog (8)

1 7 503 953 3,521 6,671 479,359 3,355,513

Collatz Trajectory (159 steps to reach 1)

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

3,355,513 10,066,540 5,033,270 2,516,635 7,549,906 3,774,953 11,324,860 5,662,430 2,831,215 8,493,646 4,246,823 12,740,470 6,370,235 19,110,706 9,555,353 28,666,060 14,333,030 7,166,515 21,499,546 10,749,773 32,249,320 16,124,660 8,062,330 4,031,165 12,093,496 6,046,748 3,023,374 1,511,687 4,535,062 2,267,531 6,802,594 3,401,297 10,203,892 5,101,946 2,550,973 7,652,920 3,826,460 1,913,230 956,615 2,869,846 1,434,923 4,304,770 2,152,385 6,457,156 3,228,578 1,614,289 4,842,868 2,421,434 1,210,717 3,632,152 1,816,076 908,038 454,019 1,362,058 681,029 2,043,088 1,021,544 510,772 255,386 127,693

More profiles

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