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Atlas › Integer Profiles › Node 7,601,632

7,601,632

25 × 139 × 1709
Deficient Even Composite

7,601,632 factors as 2^5 × 139 × 1709. Its 24 positive divisors give a proper-divisor sum of 7,480,568, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^5 × 139 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,082,200
Proper Divisor Sum 7,480,568
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7601621 ← → #7601641

Radix Representation

Decimal 7601632
Binary 11100111111110111100000 (23 bits)
Octal 0o34776740
Hexadecimal 0x73FDE0

Divisor Catalog (24)

1 2 4 8 16 32 139 278 556 1,112 1,709 2,224 3,418 4,448 6,836 13,672 27,344 54,688 237,551 475,102 950,204 1,900,408 3,800,816 7,601,632

Collatz Trajectory (129 steps to reach 1)

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

7,601,632 3,800,816 1,900,408 950,204 475,102 237,551 712,654 356,327 1,068,982 534,491 1,603,474 801,737 2,405,212 1,202,606 601,303 1,803,910 901,955 2,705,866 1,352,933 4,058,800 2,029,400 1,014,700 507,350 253,675 761,026 380,513 1,141,540 570,770 285,385 856,156 428,078 214,039 642,118 321,059 963,178 481,589 1,444,768 722,384 361,192 180,596 90,298 45,149 135,448 67,724 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340

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