λ
Sequence Observatory

5,954,815

5 × 23 × 53 × 977
Deficient Odd Composite

Starting at 5,954,815, the Collatz iteration reaches 1 after 196 steps. The first transition is 17864446; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 23 × 53 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,604,928
Proper Divisor Sum 1,650,113
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5954803 ← → #5954827

Radix Representation

Decimal 5954815
Binary 10110101101110011111111 (23 bits)
Octal 0o26556377
Hexadecimal 0x5ADCFF

Divisor Catalog (16)

1 5 23 53 115 265 977 1,219 4,885 6,095 22,471 51,781 112,355 258,905 1,190,963 5,954,815

Collatz Trajectory (196 steps to reach 1)

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

5,954,815 17,864,446 8,932,223 26,796,670 13,398,335 40,195,006 20,097,503 60,292,510 30,146,255 90,438,766 45,219,383 135,658,150 67,829,075 203,487,226 101,743,613 305,230,840 152,615,420 76,307,710 38,153,855 114,461,566 57,230,783 171,692,350 85,846,175 257,538,526 128,769,263 386,307,790 193,153,895 579,461,686 289,730,843 869,192,530 434,596,265 1,303,788,796 651,894,398 325,947,199 977,841,598 488,920,799 1,466,762,398 733,381,199 2,200,143,598 1,100,071,799 3,300,215,398 1,650,107,699 4,950,323,098 2,475,161,549 7,425,484,648 3,712,742,324 1,856,371,162 928,185,581 2,784,556,744 1,392,278,372 696,139,186 348,069,593 1,044,208,780 522,104,390 261,052,195 783,156,586 391,578,293 1,174,734,880 587,367,440 293,683,720

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