5,638,171

7 × 11 × 37 × 1979

Starting at 5,638,171, the Collatz iteration reaches 1 after 183 steps. The first transition is 16914514; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 1979

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,223,040

Proper Divisor Sum 1,584,869

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5638163 ← → #5638177

Radix Representation

Decimal	5638171
Binary	10101100000100000011011 (23 bits)
Octal	0o25404033
Hexadecimal	0x56081B

Divisor Catalog (16)

1 7 11 37 77 259 407 1,979 2,849 13,853 21,769 73,223 152,383 512,561 805,453 5,638,171

Collatz Trajectory (183 steps to reach 1)

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

5,638,171 16,914,514 8,457,257 25,371,772 12,685,886 6,342,943 19,028,830 9,514,415 28,543,246 14,271,623 42,814,870 21,407,435 64,222,306 32,111,153 96,333,460 48,166,730 24,083,365 72,250,096 36,125,048 18,062,524 9,031,262 4,515,631 13,546,894 6,773,447 20,320,342 10,160,171 30,480,514 15,240,257 45,720,772 22,860,386 11,430,193 34,290,580 17,145,290 8,572,645 25,717,936 12,858,968 6,429,484 3,214,742 1,607,371 4,822,114 2,411,057 7,233,172 3,616,586 1,808,293 5,424,880 2,712,440 1,356,220 678,110 339,055 1,017,166 508,583 1,525,750 762,875 2,288,626 1,144,313 3,432,940 1,716,470 858,235 2,574,706 1,287,353

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