λ
Sequence Observatory

6,958,985

5 × 11 × 29 × 4363
Deficient Odd Composite

Starting at 6,958,985, the Collatz iteration reaches 1 after 98 steps. The first transition is 20876956; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 29 × 4363
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,426,240
Proper Divisor Sum 2,467,255
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #6958957 ← → #6959003

Radix Representation

Decimal 6958985
Binary 11010100010111110001001 (23 bits)
Octal 0o32427611
Hexadecimal 0x6A2F89

Divisor Catalog (16)

1 5 11 29 55 145 319 1,595 4,363 21,815 47,993 126,527 239,965 632,635 1,391,797 6,958,985

Collatz Trajectory (98 steps to reach 1)

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

6,958,985 20,876,956 10,438,478 5,219,239 15,657,718 7,828,859 23,486,578 11,743,289 35,229,868 17,614,934 8,807,467 26,422,402 13,211,201 39,633,604 19,816,802 9,908,401 29,725,204 14,862,602 7,431,301 22,293,904 11,146,952 5,573,476 2,786,738 1,393,369 4,180,108 2,090,054 1,045,027 3,135,082 1,567,541 4,702,624 2,351,312 1,175,656 587,828 293,914 146,957 440,872 220,436 110,218 55,109 165,328 82,664 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228

More profiles

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