λ
Harmonic Matrix

136,475

52 × 53 × 103
Deficient Odd Composite

136,475 has digital root 8. The neighboring primes are 136471 and 136481; its proper-divisor sum differs from the starting integer by -98,854.

Prime Factor Structure

Factorization String 5^2 × 53 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 174,096
Proper Divisor Sum 37,621
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #136471 ← → #136481

Radix Representation

Decimal 136475
Binary 100001010100011011 (18 bits)
Octal 0o412433
Hexadecimal 0x2151B

Divisor Catalog (12)

1 5 25 53 103 265 515 1,325 2,575 5,459 27,295 136,475

Collatz Trajectory (144 steps to reach 1)

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

136,475 409,426 204,713 614,140 307,070 153,535 460,606 230,303 690,910 345,455 1,036,366 518,183 1,554,550 777,275 2,331,826 1,165,913 3,497,740 1,748,870 874,435 2,623,306 1,311,653 3,934,960 1,967,480 983,740 491,870 245,935 737,806 368,903 1,106,710 553,355 1,660,066 830,033 2,490,100 1,245,050 622,525 1,867,576 933,788 466,894 233,447 700,342 350,171 1,050,514 525,257 1,575,772 787,886 393,943 1,181,830 590,915 1,772,746 886,373 2,659,120 1,329,560 664,780 332,390 166,195 498,586 249,293 747,880 373,940 186,970

More profiles

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