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Atlas › Integer Profiles › Node 32,877,880

32,877,880

23 × 5 × 7 × 29 × 4049
Abundant Even Composite

32,877,880 factors as 2^3 × 5 × 7 × 29 × 4049. Its 64 positive divisors give a proper-divisor sum of 54,602,120, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 29 × 4049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 87,480,000
Proper Divisor Sum 54,602,120
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #32877827 ← → #32877883

Radix Representation

Decimal 32877880
Binary 1111101011010110100111000 (25 bits)
Octal 0o175326470
Hexadecimal 0x1F5AD38

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1,015 1,160 1,624 2,030 4,049 4,060 8,098 8,120 16,196 20,245 28,343 32,392 40,490 56,686 80,980 113,372 117,421 141,715 161,960 226,744 234,842 283,430 469,684 566,860 587,105 821,947 939,368 1,133,720 1,174,210 1,643,894 2,348,420 3,287,788 4,109,735 4,696,840

Collatz Trajectory (219 steps to reach 1)

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

32,877,880 16,438,940 8,219,470 4,109,735 12,329,206 6,164,603 18,493,810 9,246,905 27,740,716 13,870,358 6,935,179 20,805,538 10,402,769 31,208,308 15,604,154 7,802,077 23,406,232 11,703,116 5,851,558 2,925,779 8,777,338 4,388,669 13,166,008 6,583,004 3,291,502 1,645,751 4,937,254 2,468,627 7,405,882 3,702,941 11,108,824 5,554,412 2,777,206 1,388,603 4,165,810 2,082,905 6,248,716 3,124,358 1,562,179 4,686,538 2,343,269 7,029,808 3,514,904 1,757,452 878,726 439,363 1,318,090 659,045 1,977,136 988,568 494,284 247,142 123,571 370,714 185,357 556,072 278,036 139,018 69,509 208,528

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