λ
Sequence Observatory

1,927,610

2 × 5 × 53 × 3637
Deficient Even Composite

Starting at 1,927,610, the Collatz iteration reaches 1 after 122 steps. The first transition is 963805; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 53 × 3637
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,536,136
Proper Divisor Sum 1,608,526
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1927603 ← → #1927619

Radix Representation

Decimal 1927610
Binary 111010110100110111010 (21 bits)
Octal 0o7264672
Hexadecimal 0x1D69BA

Divisor Catalog (16)

1 2 5 10 53 106 265 530 3,637 7,274 18,185 36,370 192,761 385,522 963,805 1,927,610

Collatz Trajectory (122 steps to reach 1)

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

1,927,610 963,805 2,891,416 1,445,708 722,854 361,427 1,084,282 542,141 1,626,424 813,212 406,606 203,303 609,910 304,955 914,866 457,433 1,372,300 686,150 343,075 1,029,226 514,613 1,543,840 771,920 385,960 192,980 96,490 48,245 144,736 72,368 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039

More profiles

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