λ
Sequence Observatory

6,977,150

2 × 52 × 47 × 2969
Deficient Even Composite

Starting at 6,977,150, the Collatz iteration reaches 1 after 85 steps. The first transition is 3488575; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 47 × 2969
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,258,080
Proper Divisor Sum 6,280,930
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6977147 ← → #6977153

Radix Representation

Decimal 6977150
Binary 11010100111011001111110 (23 bits)
Octal 0o32473176
Hexadecimal 0x6A767E

Divisor Catalog (24)

1 2 5 10 25 47 50 94 235 470 1,175 2,350 2,969 5,938 14,845 29,690 74,225 139,543 148,450 279,086 697,715 1,395,430 3,488,575 6,977,150

Collatz Trajectory (85 steps to reach 1)

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

6,977,150 3,488,575 10,465,726 5,232,863 15,698,590 7,849,295 23,547,886 11,773,943 35,321,830 17,660,915 52,982,746 26,491,373 79,474,120 39,737,060 19,868,530 9,934,265 29,802,796 14,901,398 7,450,699 22,352,098 11,176,049 33,528,148 16,764,074 8,382,037 25,146,112 12,573,056 6,286,528 3,143,264 1,571,632 785,816 392,908 196,454 98,227 294,682 147,341 442,024 221,012 110,506 55,253 165,760 82,880 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205

More profiles

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