4,137,652

2² × 67 × 15439

4,137,652 factors as 2^2 × 67 × 15439. Its 12 positive divisors give a proper-divisor sum of 3,211,788, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 15439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,349,440

Proper Divisor Sum 3,211,788

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4137643 ← → #4137659

Radix Representation

Decimal	4137652
Binary	1111110010001010110100 (22 bits)
Octal	0o17621264
Hexadecimal	0x3F22B4

Divisor Catalog (12)

1 2 4 67 134 268 15,439 30,878 61,756 1,034,413 2,068,826 4,137,652

Collatz Trajectory (154 steps to reach 1)

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

4,137,652 2,068,826 1,034,413 3,103,240 1,551,620 775,810 387,905 1,163,716 581,858 290,929 872,788 436,394 218,197 654,592 327,296 163,648 81,824 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,137,651 Browse Full Index Next Integer #4,137,653 →