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Atlas › Integer Profiles › Node 7,500,136

7,500,136

23 × 72 × 192 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 19^2 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,590,770
Proper Divisor Sum 10,090,634
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7500127 ← → #7500169

Radix Representation

Decimal 7500136
Binary 11100100111000101101000 (23 bits)
Octal 0o34470550
Hexadecimal 0x727168

Divisor Catalog (60 of 72)

1 2 4 7 8 14 19 28 38 49 53 56 76 98 106 133 152 196 212 266 361 371 392 424 532 722 742 931 1,007 1,064 1,444 1,484 1,862 2,014 2,527 2,597 2,888 2,968 3,724 4,028 5,054 5,194 7,049 7,448 8,056 10,108 10,388 14,098 17,689 19,133 20,216 20,776 28,196 35,378 38,266 49,343 56,392 70,756 76,532 98,686

Collatz Trajectory (134 steps to reach 1)

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

7,500,136 3,750,068 1,875,034 937,517 2,812,552 1,406,276 703,138 351,569 1,054,708 527,354 263,677 791,032 395,516 197,758 98,879 296,638 148,319 444,958 222,479 667,438 333,719 1,001,158 500,579 1,501,738 750,869 2,252,608 1,126,304 563,152 281,576 140,788 70,394 35,197 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931

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