λ
Sequence Observatory

1,417,877

37 × 38321
Deficient Odd Composite

Starting at 1,417,877, the Collatz iteration reaches 1 after 106 steps. The first transition is 4253632; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 38321
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,456,236
Proper Divisor Sum 38,359
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1417873 ← → #1417883

Radix Representation

Decimal 1417877
Binary 101011010001010010101 (21 bits)
Octal 0o5321225
Hexadecimal 0x15A295

Divisor Catalog (4)

1 37 38,321 1,417,877

Collatz Trajectory (106 steps to reach 1)

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

1,417,877 4,253,632 2,126,816 1,063,408 531,704 265,852 132,926 66,463 199,390 99,695 299,086 149,543 448,630 224,315 672,946 336,473 1,009,420 504,710 252,355 757,066 378,533 1,135,600 567,800 283,900 141,950 70,975 212,926 106,463 319,390 159,695 479,086 239,543 718,630 359,315 1,077,946 538,973 1,616,920 808,460 404,230 202,115 606,346 303,173 909,520 454,760 227,380 113,690 56,845 170,536 85,268 42,634 21,317 63,952 31,976 15,988 7,994 3,997 11,992 5,996 2,998 1,499

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