λ
Harmonic Matrix

353,527

353527
Deficient Odd Prime

353,527 has digital root 7. The neighboring primes are 353501 and 353531; its proper-divisor sum differs from the starting integer by -353,526.

Prime Factor Structure

Factorization String 353527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 353,528
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #353501 ← → #353531

Radix Representation

Decimal 353527
Binary 1010110010011110111 (19 bits)
Octal 0o1262367
Hexadecimal 0x564F7

Divisor Catalog (2)

Collatz Trajectory (122 steps to reach 1)

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

353,527 1,060,582 530,291 1,590,874 795,437 2,386,312 1,193,156 596,578 298,289 894,868 447,434 223,717 671,152 335,576 167,788 83,894 41,947 125,842 62,921 188,764 94,382 47,191 141,574 70,787 212,362 106,181 318,544 159,272 79,636 39,818 19,909 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

More profiles

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