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Atlas › Integer Profiles › Node 28,624,064

28,624,064

26 × 7 × 181 × 353
Abundant Even Composite

28,624,064 factors as 2^6 × 7 × 181 × 353. Its 56 positive divisors give a proper-divisor sum of 36,834,784, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 181 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 65,458,848
Proper Divisor Sum 36,834,784
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #28624033 ← → #28624087

Radix Representation

Decimal 28624064
Binary 1101101001100010011000000 (25 bits)
Octal 0o155142300
Hexadecimal 0x1B4C4C0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 112 181 224 353 362 448 706 724 1,267 1,412 1,448 2,471 2,534 2,824 2,896 4,942 5,068 5,648 5,792 9,884 10,136 11,296 11,584 19,768 20,272 22,592 39,536 40,544 63,893 79,072 81,088 127,786 158,144 255,572 447,251 511,144 894,502 1,022,288 1,789,004 2,044,576 3,578,008 4,089,152 7,156,016 14,312,032 28,624,064

Collatz Trajectory (100 steps to reach 1)

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

28,624,064 14,312,032 7,156,016 3,578,008 1,789,004 894,502 447,251 1,341,754 670,877 2,012,632 1,006,316 503,158 251,579 754,738 377,369 1,132,108 566,054 283,027 849,082 424,541 1,273,624 636,812 318,406 159,203 477,610 238,805 716,416 358,208 179,104 89,552 44,776 22,388 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844

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