λ
Harmonic Matrix

7,296,349

17 × 429197
Deficient Odd Composite

7,296,349 has digital root 4. The neighboring primes are 7296329 and 7296379; its proper-divisor sum differs from the starting integer by -6,867,134.

Prime Factor Structure

Factorization String 17 × 429197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,725,564
Proper Divisor Sum 429,215
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7296329 ← → #7296379

Radix Representation

Decimal 7296349
Binary 11011110101010101011101 (23 bits)
Octal 0o33652535
Hexadecimal 0x6F555D

Divisor Catalog (4)

1 17 429,197 7,296,349

Collatz Trajectory (191 steps to reach 1)

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

7,296,349 21,889,048 10,944,524 5,472,262 2,736,131 8,208,394 4,104,197 12,312,592 6,156,296 3,078,148 1,539,074 769,537 2,308,612 1,154,306 577,153 1,731,460 865,730 432,865 1,298,596 649,298 324,649 973,948 486,974 243,487 730,462 365,231 1,095,694 547,847 1,643,542 821,771 2,465,314 1,232,657 3,697,972 1,848,986 924,493 2,773,480 1,386,740 693,370 346,685 1,040,056 520,028 260,014 130,007 390,022 195,011 585,034 292,517 877,552 438,776 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667

More profiles

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