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Atlas › Integer Profiles › Node 5,405,367

5,405,367

3 × 11 × 19 × 37 × 233
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 19 × 37 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,536,320
Proper Divisor Sum 3,130,953
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5405357 ← → #5405381

Radix Representation

Decimal 5405367
Binary 10100100111101010110111 (23 bits)
Octal 0o24475267
Hexadecimal 0x527AB7

Divisor Catalog (32)

1 3 11 19 33 37 57 111 209 233 407 627 699 703 1,221 2,109 2,563 4,427 7,689 7,733 8,621 13,281 23,199 25,863 48,697 94,831 146,091 163,799 284,493 491,397 1,801,789 5,405,367

Collatz Trajectory (170 steps to reach 1)

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

5,405,367 16,216,102 8,108,051 24,324,154 12,162,077 36,486,232 18,243,116 9,121,558 4,560,779 13,682,338 6,841,169 20,523,508 10,261,754 5,130,877 15,392,632 7,696,316 3,848,158 1,924,079 5,772,238 2,886,119 8,658,358 4,329,179 12,987,538 6,493,769 19,481,308 9,740,654 4,870,327 14,610,982 7,305,491 21,916,474 10,958,237 32,874,712 16,437,356 8,218,678 4,109,339 12,328,018 6,164,009 18,492,028 9,246,014 4,623,007 13,869,022 6,934,511 20,803,534 10,401,767 31,205,302 15,602,651 46,807,954 23,403,977 70,211,932 35,105,966 17,552,983 52,658,950 26,329,475 78,988,426 39,494,213 118,482,640 59,241,320 29,620,660 14,810,330 7,405,165

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