7,413,938

2 × 7 × 17 × 31151

Starting at 7,413,938, the Collatz iteration reaches 1 after 142 steps. The first transition is 3706969; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 31151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,457,664

Proper Divisor Sum 6,043,726

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7413919 ← → #7413977

Radix Representation

Decimal	7413938
Binary	11100010010000010110010 (23 bits)
Octal	0o34220262
Hexadecimal	0x7120B2

Divisor Catalog (16)

1 2 7 14 17 34 119 238 31,151 62,302 218,057 436,114 529,567 1,059,134 3,706,969 7,413,938

Collatz Trajectory (142 steps to reach 1)

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

7,413,938 3,706,969 11,120,908 5,560,454 2,780,227 8,340,682 4,170,341 12,511,024 6,255,512 3,127,756 1,563,878 781,939 2,345,818 1,172,909 3,518,728 1,759,364 879,682 439,841 1,319,524 659,762 329,881 989,644 494,822 247,411 742,234 371,117 1,113,352 556,676 278,338 139,169 417,508 208,754 104,377 313,132 156,566 78,283 234,850 117,425 352,276 176,138 88,069 264,208 132,104 66,052 33,026 16,513 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032

← Previous Integer #7,413,937 Browse Full Index Next Integer #7,413,939 →