67,976,152

2³ × 1117 × 7607

67,976,152 factors as 2^3 × 1117 × 7607. Its 16 positive divisors give a proper-divisor sum of 59,610,008, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 1117 × 7607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 127,586,160

Proper Divisor Sum 59,610,008

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #67976113 ← → #67976159

Radix Representation

Decimal	67976152
Binary	100000011010011101111011000 (27 bits)
Octal	0o403235730
Hexadecimal	0x40D3BD8

Divisor Catalog (16)

1 2 4 8 1,117 2,234 4,468 7,607 8,936 15,214 30,428 60,856 8,497,019 16,994,038 33,988,076 67,976,152

Collatz Trajectory (140 steps to reach 1)

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

67,976,152 33,988,076 16,994,038 8,497,019 25,491,058 12,745,529 38,236,588 19,118,294 9,559,147 28,677,442 14,338,721 43,016,164 21,508,082 10,754,041 32,262,124 16,131,062 8,065,531 24,196,594 12,098,297 36,294,892 18,147,446 9,073,723 27,221,170 13,610,585 40,831,756 20,415,878 10,207,939 30,623,818 15,311,909 45,935,728 22,967,864 11,483,932 5,741,966 2,870,983 8,612,950 4,306,475 12,919,426 6,459,713 19,379,140 9,689,570 4,844,785 14,534,356 7,267,178 3,633,589 10,900,768 5,450,384 2,725,192 1,362,596 681,298 340,649 1,021,948 510,974 255,487 766,462 383,231 1,149,694 574,847 1,724,542 862,271 2,586,814

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #67,976,151 Browse Full Index Next Integer #67,976,153 →