7,409,637

3⁴ × 17 × 5381

For 7,409,637, the 20 positive divisors have a total of 11,721,996. Removing 7,409,637 leaves 4,312,359, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 17 × 5381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 11,721,996

Proper Divisor Sum 4,312,359

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7409629 ← → #7409669

Radix Representation

Decimal	7409637
Binary	11100010000111111100101 (23 bits)
Octal	0o34207745
Hexadecimal	0x710FE5

Divisor Catalog (20)

1 3 9 17 27 51 81 153 459 1,377 5,381 16,143 48,429 91,477 145,287 274,431 435,861 823,293 2,469,879 7,409,637

Collatz Trajectory (116 steps to reach 1)

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

7,409,637 22,228,912 11,114,456 5,557,228 2,778,614 1,389,307 4,167,922 2,083,961 6,251,884 3,125,942 1,562,971 4,688,914 2,344,457 7,033,372 3,516,686 1,758,343 5,275,030 2,637,515 7,912,546 3,956,273 11,868,820 5,934,410 2,967,205 8,901,616 4,450,808 2,225,404 1,112,702 556,351 1,669,054 834,527 2,503,582 1,251,791 3,755,374 1,877,687 5,633,062 2,816,531 8,449,594 4,224,797 12,674,392 6,337,196 3,168,598 1,584,299 4,752,898 2,376,449 7,129,348 3,564,674 1,782,337 5,347,012 2,673,506 1,336,753 4,010,260 2,005,130 1,002,565 3,007,696 1,503,848 751,924 375,962 187,981 563,944 281,972

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