λ
Sequence Observatory

2,013,772

22 × 19 × 26497
Deficient Even Composite

Starting at 2,013,772, the Collatz iteration reaches 1 after 91 steps. The first transition is 1006886; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 26497
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,709,720
Proper Divisor Sum 1,695,948
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2013761 ← → #2013779

Radix Representation

Decimal 2013772
Binary 111101011101001001100 (21 bits)
Octal 0o7535114
Hexadecimal 0x1EBA4C

Divisor Catalog (12)

1 2 4 19 38 76 26,497 52,994 105,988 503,443 1,006,886 2,013,772

Collatz Trajectory (91 steps to reach 1)

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

2,013,772 1,006,886 503,443 1,510,330 755,165 2,265,496 1,132,748 566,374 283,187 849,562 424,781 1,274,344 637,172 318,586 159,293 477,880 238,940 119,470 59,735 179,206 89,603 268,810 134,405 403,216 201,608 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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