λ
Prime Ledger

1,275,521

13 × 59 × 1663
Deficient Odd Composite

1,275,521 has the prime decomposition 13 × 59 × 1663. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 59 × 1663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,397,760
Proper Divisor Sum 122,239
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1275503 ← → #1275523

Radix Representation

Decimal 1275521
Binary 100110111011010000001 (21 bits)
Octal 0o4673201
Hexadecimal 0x137681

Divisor Catalog (8)

1 13 59 767 1,663 21,619 98,117 1,275,521

Collatz Trajectory (248 steps to reach 1)

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

1,275,521 3,826,564 1,913,282 956,641 2,869,924 1,434,962 717,481 2,152,444 1,076,222 538,111 1,614,334 807,167 2,421,502 1,210,751 3,632,254 1,816,127 5,448,382 2,724,191 8,172,574 4,086,287 12,258,862 6,129,431 18,388,294 9,194,147 27,582,442 13,791,221 41,373,664 20,686,832 10,343,416 5,171,708 2,585,854 1,292,927 3,878,782 1,939,391 5,818,174 2,909,087 8,727,262 4,363,631 13,090,894 6,545,447 19,636,342 9,818,171 29,454,514 14,727,257 44,181,772 22,090,886 11,045,443 33,136,330 16,568,165 49,704,496 24,852,248 12,426,124 6,213,062 3,106,531 9,319,594 4,659,797 13,979,392 6,989,696 3,494,848 1,747,424

More profiles

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