λ
Harmonic Matrix

3,474,597

3 × 7 × 165457
Deficient Odd Composite

3,474,597 has digital root 3. The neighboring primes are 3474589 and 3474599; its proper-divisor sum differs from the starting integer by -1,654,538.

Prime Factor Structure

Factorization String 3 × 7 × 165457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,294,656
Proper Divisor Sum 1,820,059
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3474589 ← → #3474599

Radix Representation

Decimal 3474597
Binary 1101010000010010100101 (22 bits)
Octal 0o15202245
Hexadecimal 0x3504A5

Divisor Catalog (8)

1 3 7 21 165,457 496,371 1,158,199 3,474,597

Collatz Trajectory (221 steps to reach 1)

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

3,474,597 10,423,792 5,211,896 2,605,948 1,302,974 651,487 1,954,462 977,231 2,931,694 1,465,847 4,397,542 2,198,771 6,596,314 3,298,157 9,894,472 4,947,236 2,473,618 1,236,809 3,710,428 1,855,214 927,607 2,782,822 1,391,411 4,174,234 2,087,117 6,261,352 3,130,676 1,565,338 782,669 2,348,008 1,174,004 587,002 293,501 880,504 440,252 220,126 110,063 330,190 165,095 495,286 247,643 742,930 371,465 1,114,396 557,198 278,599 835,798 417,899 1,253,698 626,849 1,880,548 940,274 470,137 1,410,412 705,206 352,603 1,057,810 528,905 1,586,716 793,358

More profiles

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