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Atlas › Integer Profiles › Node 45,536,631

45,536,631

3 × 72 × 71 × 4363
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 71 × 4363
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 71,639,424
Proper Divisor Sum 26,102,793
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #45536629 ← → #45536633

Radix Representation

Decimal 45536631
Binary 10101101101101010101110111 (26 bits)
Octal 0o255552567
Hexadecimal 0x2B6D577

Divisor Catalog (24)

1 3 7 21 49 71 147 213 497 1,491 3,479 4,363 10,437 13,089 30,541 91,623 213,787 309,773 641,361 929,319 2,168,411 6,505,233 15,178,877 45,536,631

Collatz Trajectory (129 steps to reach 1)

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

45,536,631 136,609,894 68,304,947 204,914,842 102,457,421 307,372,264 153,686,132 76,843,066 38,421,533 115,264,600 57,632,300 28,816,150 14,408,075 43,224,226 21,612,113 64,836,340 32,418,170 16,209,085 48,627,256 24,313,628 12,156,814 6,078,407 18,235,222 9,117,611 27,352,834 13,676,417 41,029,252 20,514,626 10,257,313 30,771,940 15,385,970 7,692,985 23,078,956 11,539,478 5,769,739 17,309,218 8,654,609 25,963,828 12,981,914 6,490,957 19,472,872 9,736,436 4,868,218 2,434,109 7,302,328 3,651,164 1,825,582 912,791 2,738,374 1,369,187 4,107,562 2,053,781 6,161,344 3,080,672 1,540,336 770,168 385,084 192,542 96,271 288,814

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