λ
Harmonic Matrix

3,505,643

353 × 9931
Deficient Odd Composite

3,505,643 has digital root 8. The neighboring primes are 3505631 and 3505651; its proper-divisor sum differs from the starting integer by -3,495,358.

Prime Factor Structure

Factorization String 353 × 9931
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,515,928
Proper Divisor Sum 10,285
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3505631 ← → #3505651

Radix Representation

Decimal 3505643
Binary 1101010111110111101011 (22 bits)
Octal 0o15276753
Hexadecimal 0x357DEB

Divisor Catalog (4)

1 353 9,931 3,505,643

Collatz Trajectory (296 steps to reach 1)

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

3,505,643 10,516,930 5,258,465 15,775,396 7,887,698 3,943,849 11,831,548 5,915,774 2,957,887 8,873,662 4,436,831 13,310,494 6,655,247 19,965,742 9,982,871 29,948,614 14,974,307 44,922,922 22,461,461 67,384,384 33,692,192 16,846,096 8,423,048 4,211,524 2,105,762 1,052,881 3,158,644 1,579,322 789,661 2,368,984 1,184,492 592,246 296,123 888,370 444,185 1,332,556 666,278 333,139 999,418 499,709 1,499,128 749,564 374,782 187,391 562,174 281,087 843,262 421,631 1,264,894 632,447 1,897,342 948,671 2,846,014 1,423,007 4,269,022 2,134,511 6,403,534 3,201,767 9,605,302 4,802,651

More profiles

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