7,516,623

3 × 2505541

7,516,623 factors as 3 × 2505541. Its 4 positive divisors give a proper-divisor sum of 2,505,545, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3 × 2505541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,022,168

Proper Divisor Sum 2,505,545

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7516589 ← → #7516633

Radix Representation

Decimal	7516623
Binary	11100101011000111001111 (23 bits)
Octal	0o34530717
Hexadecimal	0x72B1CF

Divisor Catalog (4)

1 3 2,505,541 7,516,623

Collatz Trajectory (160 steps to reach 1)

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

7,516,623 22,549,870 11,274,935 33,824,806 16,912,403 50,737,210 25,368,605 76,105,816 38,052,908 19,026,454 9,513,227 28,539,682 14,269,841 42,809,524 21,404,762 10,702,381 32,107,144 16,053,572 8,026,786 4,013,393 12,040,180 6,020,090 3,010,045 9,030,136 4,515,068 2,257,534 1,128,767 3,386,302 1,693,151 5,079,454 2,539,727 7,619,182 3,809,591 11,428,774 5,714,387 17,143,162 8,571,581 25,714,744 12,857,372 6,428,686 3,214,343 9,643,030 4,821,515 14,464,546 7,232,273 21,696,820 10,848,410 5,424,205 16,272,616 8,136,308 4,068,154 2,034,077 6,102,232 3,051,116 1,525,558 762,779 2,288,338 1,144,169 3,432,508 1,716,254

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