17,336,627

7 × 11 × 61 × 3691

17,336,627 factors as 7 × 11 × 61 × 3691. Its 16 positive divisors give a proper-divisor sum of 4,638,157, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 7 × 11 × 61 × 3691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,974,784

Proper Divisor Sum 4,638,157

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #17336603 ← → #17336633

Radix Representation

Decimal	17336627
Binary	1000010001000100100110011 (25 bits)
Octal	0o102104463
Hexadecimal	0x1088933

Divisor Catalog (16)

1 7 11 61 77 427 671 3,691 4,697 25,837 40,601 225,151 284,207 1,576,057 2,476,661 17,336,627

Collatz Trajectory (120 steps to reach 1)

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

17,336,627 52,009,882 26,004,941 78,014,824 39,007,412 19,503,706 9,751,853 29,255,560 14,627,780 7,313,890 3,656,945 10,970,836 5,485,418 2,742,709 8,228,128 4,114,064 2,057,032 1,028,516 514,258 257,129 771,388 385,694 192,847 578,542 289,271 867,814 433,907 1,301,722 650,861 1,952,584 976,292 488,146 244,073 732,220 366,110 183,055 549,166 274,583 823,750 411,875 1,235,626 617,813 1,853,440 926,720 463,360 231,680 115,840 57,920 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058

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