λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,904,712

1,904,712

23 × 3 × 19 × 4177
Abundant Even Composite

Starting at 1,904,712, the Collatz iteration reaches 1 after 122 steps. The first transition is 952356; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 4177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,013,600
Proper Divisor Sum 3,108,888
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1904701 ← → #1904719

Radix Representation

Decimal 1904712
Binary 111010001000001001000 (21 bits)
Octal 0o7210110
Hexadecimal 0x1D1048

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4,177 8,354 12,531 16,708 25,062 33,416 50,124 79,363 100,248 158,726 238,089 317,452 476,178 634,904 952,356 1,904,712

Collatz Trajectory (122 steps to reach 1)

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

1,904,712 952,356 476,178 238,089 714,268 357,134 178,567 535,702 267,851 803,554 401,777 1,205,332 602,666 301,333 904,000 452,000 226,000 113,000 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020

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