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Atlas › Integer Profiles › Node 36,039,729

36,039,729

3 × 112 × 101 × 983
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11^2 × 101 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 53,395,776
Proper Divisor Sum 17,356,047
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36039727 ← → #36039761

Radix Representation

Decimal 36039729
Binary 10001001011110110000110001 (26 bits)
Octal 0o211366061
Hexadecimal 0x225EC31

Divisor Catalog (24)

1 3 11 33 101 121 303 363 983 1,111 2,949 3,333 10,813 12,221 32,439 36,663 99,283 118,943 297,849 356,829 1,092,113 3,276,339 12,013,243 36,039,729

Collatz Trajectory (245 steps to reach 1)

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

36,039,729 108,119,188 54,059,594 27,029,797 81,089,392 40,544,696 20,272,348 10,136,174 5,068,087 15,204,262 7,602,131 22,806,394 11,403,197 34,209,592 17,104,796 8,552,398 4,276,199 12,828,598 6,414,299 19,242,898 9,621,449 28,864,348 14,432,174 7,216,087 21,648,262 10,824,131 32,472,394 16,236,197 48,708,592 24,354,296 12,177,148 6,088,574 3,044,287 9,132,862 4,566,431 13,699,294 6,849,647 20,548,942 10,274,471 30,823,414 15,411,707 46,235,122 23,117,561 69,352,684 34,676,342 17,338,171 52,014,514 26,007,257 78,021,772 39,010,886 19,505,443 58,516,330 29,258,165 87,774,496 43,887,248 21,943,624 10,971,812 5,485,906 2,742,953 8,228,860

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