λ
Prime Ledger

2,452,415

5 × 7 × 41 × 1709
Deficient Odd Composite

2,452,415 has the prime decomposition 5 × 7 × 41 × 1709. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,447,360
Proper Divisor Sum 994,945
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2452409 ← → #2452427

Radix Representation

Decimal 2452415
Binary 1001010110101110111111 (22 bits)
Octal 0o11265677
Hexadecimal 0x256BBF

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 1,709 8,545 11,963 59,815 70,069 350,345 490,483 2,452,415

Collatz Trajectory (205 steps to reach 1)

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

2,452,415 7,357,246 3,678,623 11,035,870 5,517,935 16,553,806 8,276,903 24,830,710 12,415,355 37,246,066 18,623,033 55,869,100 27,934,550 13,967,275 41,901,826 20,950,913 62,852,740 31,426,370 15,713,185 47,139,556 23,569,778 11,784,889 35,354,668 17,677,334 8,838,667 26,516,002 13,258,001 39,774,004 19,887,002 9,943,501 29,830,504 14,915,252 7,457,626 3,728,813 11,186,440 5,593,220 2,796,610 1,398,305 4,194,916 2,097,458 1,048,729 3,146,188 1,573,094 786,547 2,359,642 1,179,821 3,539,464 1,769,732 884,866 442,433 1,327,300 663,650 331,825 995,476 497,738 248,869 746,608 373,304 186,652 93,326

More profiles

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