λ
Sigma Notebook

353,655

32 × 5 × 29 × 271
Deficient Odd Composite

353,655 is odd and not a perfect square. Its factorization is 3^2 × 5 × 29 × 271 and its 24 divisors sum to 636,480.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 636,480
Proper Divisor Sum 282,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #353653 ← → #353657

Radix Representation

Decimal 353655
Binary 1010110010101110111 (19 bits)
Octal 0o1262567
Hexadecimal 0x56577

Divisor Catalog (24)

1 3 5 9 15 29 45 87 145 261 271 435 813 1,305 1,355 2,439 4,065 7,859 12,195 23,577 39,295 70,731 117,885 353,655

Collatz Trajectory (197 steps to reach 1)

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

353,655 1,060,966 530,483 1,591,450 795,725 2,387,176 1,193,588 596,794 298,397 895,192 447,596 223,798 111,899 335,698 167,849 503,548 251,774 125,887 377,662 188,831 566,494 283,247 849,742 424,871 1,274,614 637,307 1,911,922 955,961 2,867,884 1,433,942 716,971 2,150,914 1,075,457 3,226,372 1,613,186 806,593 2,419,780 1,209,890 604,945 1,814,836 907,418 453,709 1,361,128 680,564 340,282 170,141 510,424 255,212 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752

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