λ
Sequence Observatory

2,587,119

3 × 29 × 131 × 227
Deficient Odd Composite

Starting at 2,587,119, the Collatz iteration reaches 1 after 293 steps. The first transition is 7761358; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 131 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,611,520
Proper Divisor Sum 1,024,401
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2587103 ← → #2587121

Radix Representation

Decimal 2587119
Binary 1001110111100111101111 (22 bits)
Octal 0o11674757
Hexadecimal 0x2779EF

Divisor Catalog (16)

1 3 29 87 131 227 393 681 3,799 6,583 11,397 19,749 29,737 89,211 862,373 2,587,119

Collatz Trajectory (293 steps to reach 1)

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

2,587,119 7,761,358 3,880,679 11,642,038 5,821,019 17,463,058 8,731,529 26,194,588 13,097,294 6,548,647 19,645,942 9,822,971 29,468,914 14,734,457 44,203,372 22,101,686 11,050,843 33,152,530 16,576,265 49,728,796 24,864,398 12,432,199 37,296,598 18,648,299 55,944,898 27,972,449 83,917,348 41,958,674 20,979,337 62,938,012 31,469,006 15,734,503 47,203,510 23,601,755 70,805,266 35,402,633 106,207,900 53,103,950 26,551,975 79,655,926 39,827,963 119,483,890 59,741,945 179,225,836 89,612,918 44,806,459 134,419,378 67,209,689 201,629,068 100,814,534 50,407,267 151,221,802 75,610,901 226,832,704 113,416,352 56,708,176 28,354,088 14,177,044 7,088,522 3,544,261

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