λ
Harmonic Matrix

5,409,217

11 × 491747
Deficient Odd Composite

5,409,217 has digital root 1. The neighboring primes are 5409203 and 5409241; its proper-divisor sum differs from the starting integer by -4,917,458.

Prime Factor Structure

Factorization String 11 × 491747
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,900,976
Proper Divisor Sum 491,759
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5409203 ← → #5409241

Radix Representation

Decimal 5409217
Binary 10100101000100111000001 (23 bits)
Octal 0o24504701
Hexadecimal 0x5289C1

Divisor Catalog (4)

1 11 491,747 5,409,217

Collatz Trajectory (276 steps to reach 1)

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

5,409,217 16,227,652 8,113,826 4,056,913 12,170,740 6,085,370 3,042,685 9,128,056 4,564,028 2,282,014 1,141,007 3,423,022 1,711,511 5,134,534 2,567,267 7,701,802 3,850,901 11,552,704 5,776,352 2,888,176 1,444,088 722,044 361,022 180,511 541,534 270,767 812,302 406,151 1,218,454 609,227 1,827,682 913,841 2,741,524 1,370,762 685,381 2,056,144 1,028,072 514,036 257,018 128,509 385,528 192,764 96,382 48,191 144,574 72,287 216,862 108,431 325,294 162,647 487,942 243,971 731,914 365,957 1,097,872 548,936 274,468 137,234 68,617 205,852

More profiles

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