λ
Integer Codex

535,129

72 × 67 × 163
Deficient Odd Composite

For 535,129, the 12 positive divisors have a total of 635,664. Removing 535,129 leaves 100,535, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 67 × 163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 635,664
Proper Divisor Sum 100,535
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #535123 ← → #535133

Radix Representation

Decimal 535129
Binary 10000010101001011001 (20 bits)
Octal 0o2025131
Hexadecimal 0x82A59

Divisor Catalog (12)

1 7 49 67 163 469 1,141 3,283 7,987 10,921 76,447 535,129

Collatz Trajectory (208 steps to reach 1)

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

535,129 1,605,388 802,694 401,347 1,204,042 602,021 1,806,064 903,032 451,516 225,758 112,879 338,638 169,319 507,958 253,979 761,938 380,969 1,142,908 571,454 285,727 857,182 428,591 1,285,774 642,887 1,928,662 964,331 2,892,994 1,446,497 4,339,492 2,169,746 1,084,873 3,254,620 1,627,310 813,655 2,440,966 1,220,483 3,661,450 1,830,725 5,492,176 2,746,088 1,373,044 686,522 343,261 1,029,784 514,892 257,446 128,723 386,170 193,085 579,256 289,628 144,814 72,407 217,222 108,611 325,834 162,917 488,752 244,376 122,188

More profiles

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