λ
Prime Ledger

7,815,421

7815421
Deficient Odd Prime

7,815,421 has the prime decomposition 7815421. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 7815421
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,815,422
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7815397 ← → #7815443

Radix Representation

Decimal 7815421
Binary 11101110100000011111101 (23 bits)
Octal 0o35640375
Hexadecimal 0x7740FD

Divisor Catalog (2)

Collatz Trajectory (155 steps to reach 1)

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

7,815,421 23,446,264 11,723,132 5,861,566 2,930,783 8,792,350 4,396,175 13,188,526 6,594,263 19,782,790 9,891,395 29,674,186 14,837,093 44,511,280 22,255,640 11,127,820 5,563,910 2,781,955 8,345,866 4,172,933 12,518,800 6,259,400 3,129,700 1,564,850 782,425 2,347,276 1,173,638 586,819 1,760,458 880,229 2,640,688 1,320,344 660,172 330,086 165,043 495,130 247,565 742,696 371,348 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431

More profiles

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