λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,519,132

1,519,132

22 × 41 × 59 × 157
Deficient Even Composite

Starting at 1,519,132, the Collatz iteration reaches 1 after 80 steps. The first transition is 759566; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 59 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,787,120
Proper Divisor Sum 1,267,988
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1519129 ← → #1519153

Radix Representation

Decimal 1519132
Binary 101110010111000011100 (21 bits)
Octal 0o5627034
Hexadecimal 0x172E1C

Divisor Catalog (24)

1 2 4 41 59 82 118 157 164 236 314 628 2,419 4,838 6,437 9,263 9,676 12,874 18,526 25,748 37,052 379,783 759,566 1,519,132

Collatz Trajectory (80 steps to reach 1)

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

1,519,132 759,566 379,783 1,139,350 569,675 1,709,026 854,513 2,563,540 1,281,770 640,885 1,922,656 961,328 480,664 240,332 120,166 60,083 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

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