5,286,880

2⁵ × 5 × 173 × 191

Starting at 5,286,880, the Collatz iteration reaches 1 after 126 steps. The first transition is 2643440; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 173 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,628,224

Proper Divisor Sum 7,341,344

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5286871 ← → #5286901

Radix Representation

Decimal	5286880
Binary	10100001010101111100000 (23 bits)
Octal	0o24125740
Hexadecimal	0x50ABE0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 160 173 191 346 382 692 764 865 955 1,384 1,528 1,730 1,910 2,768 3,056 3,460 3,820 5,536 6,112 6,920 7,640 13,840 15,280 27,680 30,560 33,043 66,086 132,172 165,215 264,344 330,430 528,688 660,860 1,057,376 1,321,720 2,643,440 5,286,880

Collatz Trajectory (126 steps to reach 1)

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

5,286,880 2,643,440 1,321,720 660,860 330,430 165,215 495,646 247,823 743,470 371,735 1,115,206 557,603 1,672,810 836,405 2,509,216 1,254,608 627,304 313,652 156,826 78,413 235,240 117,620 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596

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