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Atlas › Integer Profiles › Node 5,400,535

5,400,535

5 × 73 × 47 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^3 × 47 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,833,600
Proper Divisor Sum 2,433,065
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5400523 ← → #5400553

Radix Representation

Decimal 5400535
Binary 10100100110011111010111 (23 bits)
Octal 0o24463727
Hexadecimal 0x5267D7

Divisor Catalog (32)

1 5 7 35 47 49 67 235 245 329 335 343 469 1,645 1,715 2,303 2,345 3,149 3,283 11,515 15,745 16,121 16,415 22,043 22,981 80,605 110,215 114,905 154,301 771,505 1,080,107 5,400,535

Collatz Trajectory (232 steps to reach 1)

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

5,400,535 16,201,606 8,100,803 24,302,410 12,151,205 36,453,616 18,226,808 9,113,404 4,556,702 2,278,351 6,835,054 3,417,527 10,252,582 5,126,291 15,378,874 7,689,437 23,068,312 11,534,156 5,767,078 2,883,539 8,650,618 4,325,309 12,975,928 6,487,964 3,243,982 1,621,991 4,865,974 2,432,987 7,298,962 3,649,481 10,948,444 5,474,222 2,737,111 8,211,334 4,105,667 12,317,002 6,158,501 18,475,504 9,237,752 4,618,876 2,309,438 1,154,719 3,464,158 1,732,079 5,196,238 2,598,119 7,794,358 3,897,179 11,691,538 5,845,769 17,537,308 8,768,654 4,384,327 13,152,982 6,576,491 19,729,474 9,864,737 29,594,212 14,797,106 7,398,553

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