λ
Prime Ledger

7,740,098

2 × 23 × 168263
Deficient Even Composite

7,740,098 has the prime decomposition 2 × 23 × 168263. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 168263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,115,008
Proper Divisor Sum 4,374,910
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7740097 ← → #7740119

Radix Representation

Decimal 7740098
Binary 11101100001101011000010 (23 bits)
Octal 0o35415302
Hexadecimal 0x761AC2

Divisor Catalog (8)

1 2 23 46 168,263 336,526 3,870,049 7,740,098

Collatz Trajectory (129 steps to reach 1)

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

7,740,098 3,870,049 11,610,148 5,805,074 2,902,537 8,707,612 4,353,806 2,176,903 6,530,710 3,265,355 9,796,066 4,898,033 14,694,100 7,347,050 3,673,525 11,020,576 5,510,288 2,755,144 1,377,572 688,786 344,393 1,033,180 516,590 258,295 774,886 387,443 1,162,330 581,165 1,743,496 871,748 435,874 217,937 653,812 326,906 163,453 490,360 245,180 122,590 61,295 183,886 91,943 275,830 137,915 413,746 206,873 620,620 310,310 155,155 465,466 232,733 698,200 349,100 174,550 87,275 261,826 130,913 392,740 196,370 98,185 294,556

More profiles

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