7,352,406

2 × 3² × 97 × 4211

7,352,406 has digital root 9. The neighboring primes are 7352393 and 7352417; its proper-divisor sum differs from the starting integer by 1,393,452.

Prime Factor Structure

Factorization String 2 × 3^2 × 97 × 4211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,098,264

Proper Divisor Sum 8,745,858

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7352393 ← → #7352417

Radix Representation

Decimal	7352406
Binary	11100000011000001010110 (23 bits)
Octal	0o34030126
Hexadecimal	0x703056

Divisor Catalog (24)

1 2 3 6 9 18 97 194 291 582 873 1,746 4,211 8,422 12,633 25,266 37,899 75,798 408,467 816,934 1,225,401 2,450,802 3,676,203 7,352,406

Collatz Trajectory (173 steps to reach 1)

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

7,352,406 3,676,203 11,028,610 5,514,305 16,542,916 8,271,458 4,135,729 12,407,188 6,203,594 3,101,797 9,305,392 4,652,696 2,326,348 1,163,174 581,587 1,744,762 872,381 2,617,144 1,308,572 654,286 327,143 981,430 490,715 1,472,146 736,073 2,208,220 1,104,110 552,055 1,656,166 828,083 2,484,250 1,242,125 3,726,376 1,863,188 931,594 465,797 1,397,392 698,696 349,348 174,674 87,337 262,012 131,006 65,503 196,510 98,255 294,766 147,383 442,150 221,075 663,226 331,613 994,840 497,420 248,710 124,355 373,066 186,533 559,600 279,800

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