λ
Harmonic Matrix

3,227,617

3227617
Deficient Odd Prime

3,227,617 has digital root 1. The neighboring primes are 3227611 and 3227639; its proper-divisor sum differs from the starting integer by -3,227,616.

Prime Factor Structure

Factorization String 3227617
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,227,618
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3227611 ← → #3227639

Radix Representation

Decimal 3227617
Binary 1100010011111111100001 (22 bits)
Octal 0o14237741
Hexadecimal 0x313FE1

Divisor Catalog (2)

Collatz Trajectory (177 steps to reach 1)

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

3,227,617 9,682,852 4,841,426 2,420,713 7,262,140 3,631,070 1,815,535 5,446,606 2,723,303 8,169,910 4,084,955 12,254,866 6,127,433 18,382,300 9,191,150 4,595,575 13,786,726 6,893,363 20,680,090 10,340,045 31,020,136 15,510,068 7,755,034 3,877,517 11,632,552 5,816,276 2,908,138 1,454,069 4,362,208 2,181,104 1,090,552 545,276 272,638 136,319 408,958 204,479 613,438 306,719 920,158 460,079 1,380,238 690,119 2,070,358 1,035,179 3,105,538 1,552,769 4,658,308 2,329,154 1,164,577 3,493,732 1,746,866 873,433 2,620,300 1,310,150 655,075 1,965,226 982,613 2,947,840 1,473,920 736,960

More profiles

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