λ
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Atlas › Integer Profiles › Node 28,545,482

28,545,482

2 × 7 × 17 × 31 × 53 × 73
Deficient Even Composite

28,545,482 factors as 2 × 7 × 17 × 31 × 53 × 73. Its 64 positive divisors give a proper-divisor sum of 26,695,222, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 31 × 53 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 55,240,704
Proper Divisor Sum 26,695,222
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #28545481 ← → #28545511

Radix Representation

Decimal 28545482
Binary 1101100111001000111001010 (25 bits)
Octal 0o154710712
Hexadecimal 0x1B391CA

Divisor Catalog (60 of 64)

1 2 7 14 17 31 34 53 62 73 106 119 146 217 238 371 434 511 527 742 901 1,022 1,054 1,241 1,643 1,802 2,263 2,482 3,286 3,689 3,869 4,526 6,307 7,378 7,738 8,687 11,501 12,614 15,841 17,374 23,002 27,083 27,931 31,682 38,471 54,166 55,862 65,773 76,942 119,939 131,546 195,517 239,878 269,297 391,034 460,411 538,594 839,573 920,822 1,679,146

Collatz Trajectory (268 steps to reach 1)

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

28,545,482 14,272,741 42,818,224 21,409,112 10,704,556 5,352,278 2,676,139 8,028,418 4,014,209 12,042,628 6,021,314 3,010,657 9,031,972 4,515,986 2,257,993 6,773,980 3,386,990 1,693,495 5,080,486 2,540,243 7,620,730 3,810,365 11,431,096 5,715,548 2,857,774 1,428,887 4,286,662 2,143,331 6,429,994 3,214,997 9,644,992 4,822,496 2,411,248 1,205,624 602,812 301,406 150,703 452,110 226,055 678,166 339,083 1,017,250 508,625 1,525,876 762,938 381,469 1,144,408 572,204 286,102 143,051 429,154 214,577 643,732 321,866 160,933 482,800 241,400 120,700 60,350 30,175

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