λ
Sequence Observatory

1,604,742

2 × 3 × 71 × 3767
Abundant Even Composite

Starting at 1,604,742, the Collatz iteration reaches 1 after 93 steps. The first transition is 802371; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 71 × 3767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,255,552
Proper Divisor Sum 1,650,810
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1604737 ← → #1604747

Radix Representation

Decimal 1604742
Binary 110000111110010000110 (21 bits)
Octal 0o6076206
Hexadecimal 0x187C86

Divisor Catalog (16)

1 2 3 6 71 142 213 426 3,767 7,534 11,301 22,602 267,457 534,914 802,371 1,604,742

Collatz Trajectory (93 steps to reach 1)

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

1,604,742 802,371 2,407,114 1,203,557 3,610,672 1,805,336 902,668 451,334 225,667 677,002 338,501 1,015,504 507,752 253,876 126,938 63,469 190,408 95,204 47,602 23,801 71,404 35,702 17,851 53,554 26,777 80,332 40,166 20,083 60,250 30,125 90,376 45,188 22,594 11,297 33,892 16,946 8,473 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186

More profiles

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