3,569,632

2⁵ × 11 × 10141

Starting at 3,569,632, the Collatz iteration reaches 1 after 172 steps. The first transition is 1784816; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 10141

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,667,352

Proper Divisor Sum 4,097,720

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3569611 ← → #3569633

Radix Representation

Decimal	3569632
Binary	1101100111011111100000 (22 bits)
Octal	0o15473740
Hexadecimal	0x3677E0

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 10,141 20,282 40,564 81,128 111,551 162,256 223,102 324,512 446,204 892,408 1,784,816 3,569,632

Collatz Trajectory (172 steps to reach 1)

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

3,569,632 1,784,816 892,408 446,204 223,102 111,551 334,654 167,327 501,982 250,991 752,974 376,487 1,129,462 564,731 1,694,194 847,097 2,541,292 1,270,646 635,323 1,905,970 952,985 2,858,956 1,429,478 714,739 2,144,218 1,072,109 3,216,328 1,608,164 804,082 402,041 1,206,124 603,062 301,531 904,594 452,297 1,356,892 678,446 339,223 1,017,670 508,835 1,526,506 763,253 2,289,760 1,144,880 572,440 286,220 143,110 71,555 214,666 107,333 322,000 161,000 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642

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