29,259,139

7 × 13² × 24733

29,259,139 factors as 7 × 13^2 × 24733. Its 12 positive divisors give a proper-divisor sum of 6,951,437, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 24733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 36,210,576

Proper Divisor Sum 6,951,437

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #29259137 ← → #29259157

Radix Representation

Decimal	29259139
Binary	1101111100111010110000011 (25 bits)
Octal	0o157472603
Hexadecimal	0x1BE7583

Divisor Catalog (12)

1 7 13 91 169 1,183 24,733 173,131 321,529 2,250,703 4,179,877 29,259,139

Collatz Trajectory (144 steps to reach 1)

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

29,259,139 87,777,418 43,888,709 131,666,128 65,833,064 32,916,532 16,458,266 8,229,133 24,687,400 12,343,700 6,171,850 3,085,925 9,257,776 4,628,888 2,314,444 1,157,222 578,611 1,735,834 867,917 2,603,752 1,301,876 650,938 325,469 976,408 488,204 244,102 122,051 366,154 183,077 549,232 274,616 137,308 68,654 34,327 102,982 51,491 154,474 77,237 231,712 115,856 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #29,259,138 Browse Full Index Next Integer #29,259,140 →