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Atlas › Integer Profiles › Node 1,530,272

1,530,272

25 × 17 × 29 × 97
Abundant Even Composite

1,530,272 factors as 2^5 × 17 × 29 × 97. Its 48 positive divisors give a proper-divisor sum of 1,803,688, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 29 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,333,960
Proper Divisor Sum 1,803,688
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1530233 ← → #1530281

Radix Representation

Decimal 1530272
Binary 101110101100110100000 (21 bits)
Octal 0o5654640
Hexadecimal 0x1759A0

Divisor Catalog (48)

1 2 4 8 16 17 29 32 34 58 68 97 116 136 194 232 272 388 464 493 544 776 928 986 1,552 1,649 1,972 2,813 3,104 3,298 3,944 5,626 6,596 7,888 11,252 13,192 15,776 22,504 26,384 45,008 47,821 52,768 90,016 95,642 191,284 382,568 765,136 1,530,272

Collatz Trajectory (57 steps to reach 1)

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

1,530,272 765,136 382,568 191,284 95,642 47,821 143,464 71,732 35,866 17,933 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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