7,419,742

2 × 11 × 337261

7,419,742 has digital root 7. The neighboring primes are 7419719 and 7419743; its proper-divisor sum differs from the starting integer by -2,698,052.

Prime Factor Structure

Factorization String 2 × 11 × 337261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,141,432

Proper Divisor Sum 4,721,690

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7419719 ← → #7419743

Radix Representation

Decimal	7419742
Binary	11100010011011101011110 (23 bits)
Octal	0o34233536
Hexadecimal	0x71375E

Divisor Catalog (8)

1 2 11 22 337,261 674,522 3,709,871 7,419,742

Collatz Trajectory (111 steps to reach 1)

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

7,419,742 3,709,871 11,129,614 5,564,807 16,694,422 8,347,211 25,041,634 12,520,817 37,562,452 18,781,226 9,390,613 28,171,840 14,085,920 7,042,960 3,521,480 1,760,740 880,370 440,185 1,320,556 660,278 330,139 990,418 495,209 1,485,628 742,814 371,407 1,114,222 557,111 1,671,334 835,667 2,507,002 1,253,501 3,760,504 1,880,252 940,126 470,063 1,410,190 705,095 2,115,286 1,057,643 3,172,930 1,586,465 4,759,396 2,379,698 1,189,849 3,569,548 1,784,774 892,387 2,677,162 1,338,581 4,015,744 2,007,872 1,003,936 501,968 250,984 125,492 62,746 31,373 94,120 47,060

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