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Atlas › Integer Profiles › Node 12,487,527

12,487,527

35 × 13 × 59 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 13 × 59 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,791,680
Proper Divisor Sum 8,304,153
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12487523 ← → #12487543

Radix Representation

Decimal 12487527
Binary 101111101000101101100111 (24 bits)
Octal 0o57505547
Hexadecimal 0xBE8B67

Divisor Catalog (48)

1 3 9 13 27 39 59 67 81 117 177 201 243 351 531 603 767 871 1,053 1,593 1,809 2,301 2,613 3,159 3,953 4,779 5,427 6,903 7,839 11,859 14,337 16,281 20,709 23,517 35,577 51,389 62,127 70,551 106,731 154,167 186,381 211,653 320,193 462,501 960,579 1,387,503 4,162,509 12,487,527

Collatz Trajectory (228 steps to reach 1)

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

12,487,527 37,462,582 18,731,291 56,193,874 28,096,937 84,290,812 42,145,406 21,072,703 63,218,110 31,609,055 94,827,166 47,413,583 142,240,750 71,120,375 213,361,126 106,680,563 320,041,690 160,020,845 480,062,536 240,031,268 120,015,634 60,007,817 180,023,452 90,011,726 45,005,863 135,017,590 67,508,795 202,526,386 101,263,193 303,789,580 151,894,790 75,947,395 227,842,186 113,921,093 341,763,280 170,881,640 85,440,820 42,720,410 21,360,205 64,080,616 32,040,308 16,020,154 8,010,077 24,030,232 12,015,116 6,007,558 3,003,779 9,011,338 4,505,669 13,517,008 6,758,504 3,379,252 1,689,626 844,813 2,534,440 1,267,220 633,610 316,805 950,416 475,208

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