1,313,768

2³ × 97 × 1693

Starting at 1,313,768, the Collatz iteration reaches 1 after 217 steps. The first transition is 656884; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 97 × 1693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,490,180

Proper Divisor Sum 1,176,412

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1313761 ← → #1313771

Radix Representation

Decimal	1313768
Binary	101000000101111101000 (21 bits)
Octal	0o5005750
Hexadecimal	0x140BE8

Divisor Catalog (16)

1 2 4 8 97 194 388 776 1,693 3,386 6,772 13,544 164,221 328,442 656,884 1,313,768

Collatz Trajectory (217 steps to reach 1)

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

1,313,768 656,884 328,442 164,221 492,664 246,332 123,166 61,583 184,750 92,375 277,126 138,563 415,690 207,845 623,536 311,768 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338

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