1,353,981

3 × 29 × 79 × 197

Starting at 1,353,981, the Collatz iteration reaches 1 after 155 steps. The first transition is 4061944; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 79 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,900,800

Proper Divisor Sum 546,819

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1353977 ← → #1353983

Radix Representation

Decimal	1353981
Binary	101001010100011111101 (21 bits)
Octal	0o5124375
Hexadecimal	0x14A8FD

Divisor Catalog (16)

1 3 29 79 87 197 237 591 2,291 5,713 6,873 15,563 17,139 46,689 451,327 1,353,981

Collatz Trajectory (155 steps to reach 1)

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

1,353,981 4,061,944 2,030,972 1,015,486 507,743 1,523,230 761,615 2,284,846 1,142,423 3,427,270 1,713,635 5,140,906 2,570,453 7,711,360 3,855,680 1,927,840 963,920 481,960 240,980 120,490 60,245 180,736 90,368 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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