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Atlas › Integer Profiles › Node 5,484,045

5,484,045

3 × 5 × 7 × 29 × 1801
Deficient Odd Composite

5,484,045 factors as 3 × 5 × 7 × 29 × 1801. Its 32 positive divisors give a proper-divisor sum of 4,895,475, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 29 × 1801
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,379,520
Proper Divisor Sum 4,895,475
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5484043 ← → #5484049

Radix Representation

Decimal 5484045
Binary 10100111010111000001101 (23 bits)
Octal 0o24727015
Hexadecimal 0x53AE0D

Divisor Catalog (32)

1 3 5 7 15 21 29 35 87 105 145 203 435 609 1,015 1,801 3,045 5,403 9,005 12,607 27,015 37,821 52,229 63,035 156,687 189,105 261,145 365,603 783,435 1,096,809 1,828,015 5,484,045

Collatz Trajectory (108 steps to reach 1)

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

5,484,045 16,452,136 8,226,068 4,113,034 2,056,517 6,169,552 3,084,776 1,542,388 771,194 385,597 1,156,792 578,396 289,198 144,599 433,798 216,899 650,698 325,349 976,048 488,024 244,012 122,006 61,003 183,010 91,505 274,516 137,258 68,629 205,888 102,944 51,472 25,736 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

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