λ
Sequence Observatory

1,977,353

7 × 163 × 1733
Deficient Odd Composite

Starting at 1,977,353, the Collatz iteration reaches 1 after 122 steps. The first transition is 5932060; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 163 × 1733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,275,008
Proper Divisor Sum 297,655
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1977343 ← → #1977359

Radix Representation

Decimal 1977353
Binary 111100010110000001001 (21 bits)
Octal 0o7426011
Hexadecimal 0x1E2C09

Divisor Catalog (8)

1 7 163 1,141 1,733 12,131 282,479 1,977,353

Collatz Trajectory (122 steps to reach 1)

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

1,977,353 5,932,060 2,966,030 1,483,015 4,449,046 2,224,523 6,673,570 3,336,785 10,010,356 5,005,178 2,502,589 7,507,768 3,753,884 1,876,942 938,471 2,815,414 1,407,707 4,223,122 2,111,561 6,334,684 3,167,342 1,583,671 4,751,014 2,375,507 7,126,522 3,563,261 10,689,784 5,344,892 2,672,446 1,336,223 4,008,670 2,004,335 6,013,006 3,006,503 9,019,510 4,509,755 13,529,266 6,764,633 20,293,900 10,146,950 5,073,475 15,220,426 7,610,213 22,830,640 11,415,320 5,707,660 2,853,830 1,426,915 4,280,746 2,140,373 6,421,120 3,210,560 1,605,280 802,640 401,320 200,660 100,330 50,165 150,496 75,248

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