λ
Harmonic Matrix

3,475,465

5 × 7 × 109 × 911
Deficient Odd Composite

3,475,465 has digital root 7. The neighboring primes are 3475453 and 3475469; its proper-divisor sum differs from the starting integer by -2,135,570.

Prime Factor Structure

Factorization String 5 × 7 × 109 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,815,360
Proper Divisor Sum 1,339,895
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3475453 ← → #3475469

Radix Representation

Decimal 3475465
Binary 1101010000100000001001 (22 bits)
Octal 0o15204011
Hexadecimal 0x350809

Divisor Catalog (16)

1 5 7 35 109 545 763 911 3,815 4,555 6,377 31,885 99,299 496,495 695,093 3,475,465

Collatz Trajectory (327 steps to reach 1)

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

3,475,465 10,426,396 5,213,198 2,606,599 7,819,798 3,909,899 11,729,698 5,864,849 17,594,548 8,797,274 4,398,637 13,195,912 6,597,956 3,298,978 1,649,489 4,948,468 2,474,234 1,237,117 3,711,352 1,855,676 927,838 463,919 1,391,758 695,879 2,087,638 1,043,819 3,131,458 1,565,729 4,697,188 2,348,594 1,174,297 3,522,892 1,761,446 880,723 2,642,170 1,321,085 3,963,256 1,981,628 990,814 495,407 1,486,222 743,111 2,229,334 1,114,667 3,344,002 1,672,001 5,016,004 2,508,002 1,254,001 3,762,004 1,881,002 940,501 2,821,504 1,410,752 705,376 352,688 176,344 88,172 44,086 22,043

More profiles

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