561,835

5 × 313 × 359

Starting at 561,835, the Collatz iteration reaches 1 after 221 steps. The first transition is 1685506; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 313 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 678,240

Proper Divisor Sum 116,405

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #561829 ← → #561839

Radix Representation

Decimal	561835
Binary	10001001001010101011 (20 bits)
Octal	0o2111253
Hexadecimal	0x892AB

Divisor Catalog (8)

1 5 313 359 1,565 1,795 112,367 561,835

Collatz Trajectory (221 steps to reach 1)

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

561,835 1,685,506 842,753 2,528,260 1,264,130 632,065 1,896,196 948,098 474,049 1,422,148 711,074 355,537 1,066,612 533,306 266,653 799,960 399,980 199,990 99,995 299,986 149,993 449,980 224,990 112,495 337,486 168,743 506,230 253,115 759,346 379,673 1,139,020 569,510 284,755 854,266 427,133 1,281,400 640,700 320,350 160,175 480,526 240,263 720,790 360,395 1,081,186 540,593 1,621,780 810,890 405,445 1,216,336 608,168 304,084 152,042 76,021 228,064 114,032 57,016 28,508 14,254 7,127 21,382

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