λ
Prime Ledger

8,615,280

24 × 3 × 5 × 35897
Abundant Even Composite

8,615,280 has the prime decomposition 2^4 × 3 × 5 × 35897. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 35897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 26,708,112
Proper Divisor Sum 18,092,832
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8615279 ← → #8615287

Radix Representation

Decimal 8615280
Binary 100000110111010101110000 (24 bits)
Octal 0o40672560
Hexadecimal 0x837570

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 35,897 71,794 107,691 143,588 179,485 215,382 287,176 358,970 430,764 538,455 574,352 717,940 861,528 1,076,910 1,435,880 1,723,056 2,153,820 2,871,760 4,307,640 8,615,280

Collatz Trajectory (212 steps to reach 1)

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

8,615,280 4,307,640 2,153,820 1,076,910 538,455 1,615,366 807,683 2,423,050 1,211,525 3,634,576 1,817,288 908,644 454,322 227,161 681,484 340,742 170,371 511,114 255,557 766,672 383,336 191,668 95,834 47,917 143,752 71,876 35,938 17,969 53,908 26,954 13,477 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674

More profiles

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