λ
Sequence Observatory

1,537,663

109 × 14107
Deficient Odd Composite

Starting at 1,537,663, the Collatz iteration reaches 1 after 181 steps. The first transition is 4612990; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 109 × 14107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,551,880
Proper Divisor Sum 14,217
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1537661 ← → #1537681

Radix Representation

Decimal 1537663
Binary 101110111011001111111 (21 bits)
Octal 0o5673177
Hexadecimal 0x17767F

Divisor Catalog (4)

1 109 14,107 1,537,663

Collatz Trajectory (181 steps to reach 1)

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

1,537,663 4,612,990 2,306,495 6,919,486 3,459,743 10,379,230 5,189,615 15,568,846 7,784,423 23,353,270 11,676,635 35,029,906 17,514,953 52,544,860 26,272,430 13,136,215 39,408,646 19,704,323 59,112,970 29,556,485 88,669,456 44,334,728 22,167,364 11,083,682 5,541,841 16,625,524 8,312,762 4,156,381 12,469,144 6,234,572 3,117,286 1,558,643 4,675,930 2,337,965 7,013,896 3,506,948 1,753,474 876,737 2,630,212 1,315,106 657,553 1,972,660 986,330 493,165 1,479,496 739,748 369,874 184,937 554,812 277,406 138,703 416,110 208,055 624,166 312,083 936,250 468,125 1,404,376 702,188 351,094

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