λ
Sigma Notebook

2,458,815

3 × 5 × 23 × 7127
Deficient Odd Composite

2,458,815 is odd and not a perfect square. Its factorization is 3 × 5 × 23 × 7127 and its 16 divisors sum to 4,105,728.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 7127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,105,728
Proper Divisor Sum 1,646,913
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2458793 ← → #2458817

Radix Representation

Decimal 2458815
Binary 1001011000010010111111 (22 bits)
Octal 0o11302277
Hexadecimal 0x2584BF

Divisor Catalog (16)

1 3 5 15 23 69 115 345 7,127 21,381 35,635 106,905 163,921 491,763 819,605 2,458,815

Collatz Trajectory (280 steps to reach 1)

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

2,458,815 7,376,446 3,688,223 11,064,670 5,532,335 16,597,006 8,298,503 24,895,510 12,447,755 37,343,266 18,671,633 56,014,900 28,007,450 14,003,725 42,011,176 21,005,588 10,502,794 5,251,397 15,754,192 7,877,096 3,938,548 1,969,274 984,637 2,953,912 1,476,956 738,478 369,239 1,107,718 553,859 1,661,578 830,789 2,492,368 1,246,184 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572

More profiles

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