1,520,648

2³ × 131 × 1451

1,520,648 factors as 2^3 × 131 × 1451. Its 16 positive divisors give a proper-divisor sum of 1,354,312, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 131 × 1451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,874,960

Proper Divisor Sum 1,354,312

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1520639 ← → #1520653

Radix Representation

Decimal	1520648
Binary	101110011010000001000 (21 bits)
Octal	0o5632010
Hexadecimal	0x173408

Divisor Catalog (16)

1 2 4 8 131 262 524 1,048 1,451 2,902 5,804 11,608 190,081 380,162 760,324 1,520,648

Collatz Trajectory (225 steps to reach 1)

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

1,520,648 760,324 380,162 190,081 570,244 285,122 142,561 427,684 213,842 106,921 320,764 160,382 80,191 240,574 120,287 360,862 180,431 541,294 270,647 811,942 405,971 1,217,914 608,957 1,826,872 913,436 456,718 228,359 685,078 342,539 1,027,618 513,809 1,541,428 770,714 385,357 1,156,072 578,036 289,018 144,509 433,528 216,764 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646

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