λ
Sequence Observatory

3,607,179

3 × 17 × 70729
Deficient Odd Composite

Starting at 3,607,179, the Collatz iteration reaches 1 after 278 steps. The first transition is 10821538; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 70729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,092,560
Proper Divisor Sum 1,485,381
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3607157 ← → #3607183

Radix Representation

Decimal 3607179
Binary 1101110000101010001011 (22 bits)
Octal 0o15605213
Hexadecimal 0x370A8B

Divisor Catalog (8)

1 3 17 51 70,729 212,187 1,202,393 3,607,179

Collatz Trajectory (278 steps to reach 1)

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

3,607,179 10,821,538 5,410,769 16,232,308 8,116,154 4,058,077 12,174,232 6,087,116 3,043,558 1,521,779 4,565,338 2,282,669 6,848,008 3,424,004 1,712,002 856,001 2,568,004 1,284,002 642,001 1,926,004 963,002 481,501 1,444,504 722,252 361,126 180,563 541,690 270,845 812,536 406,268 203,134 101,567 304,702 152,351 457,054 228,527 685,582 342,791 1,028,374 514,187 1,542,562 771,281 2,313,844 1,156,922 578,461 1,735,384 867,692 433,846 216,923 650,770 325,385 976,156 488,078 244,039 732,118 366,059 1,098,178 549,089 1,647,268 823,634

More profiles

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