λ
Harmonic Matrix

3,205,501

13 × 246577
Deficient Odd Composite

3,205,501 has digital root 7. The neighboring primes are 3205459 and 3205507; its proper-divisor sum differs from the starting integer by -2,958,910.

Prime Factor Structure

Factorization String 13 × 246577
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,452,092
Proper Divisor Sum 246,591
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3205459 ← → #3205507

Radix Representation

Decimal 3205501
Binary 1100001110100101111101 (22 bits)
Octal 0o14164575
Hexadecimal 0x30E97D

Divisor Catalog (4)

1 13 246,577 3,205,501

Collatz Trajectory (146 steps to reach 1)

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

3,205,501 9,616,504 4,808,252 2,404,126 1,202,063 3,606,190 1,803,095 5,409,286 2,704,643 8,113,930 4,056,965 12,170,896 6,085,448 3,042,724 1,521,362 760,681 2,282,044 1,141,022 570,511 1,711,534 855,767 2,567,302 1,283,651 3,850,954 1,925,477 5,776,432 2,888,216 1,444,108 722,054 361,027 1,083,082 541,541 1,624,624 812,312 406,156 203,078 101,539 304,618 152,309 456,928 228,464 114,232 57,116 28,558 14,279 42,838 21,419 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333

More profiles

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