7,409,004

2² × 3 × 509 × 1213

For 7,409,004, the 24 positive divisors have a total of 17,335,920. Removing 7,409,004 leaves 9,926,916, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 509 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,335,920

Proper Divisor Sum 9,926,916

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7408997 ← → #7409009

Radix Representation

Decimal	7409004
Binary	11100010000110101101100 (23 bits)
Octal	0o34206554
Hexadecimal	0x710D6C

Divisor Catalog (24)

1 2 3 4 6 12 509 1,018 1,213 1,527 2,036 2,426 3,054 3,639 4,852 6,108 7,278 14,556 617,417 1,234,834 1,852,251 2,469,668 3,704,502 7,409,004

Collatz Trajectory (142 steps to reach 1)

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

7,409,004 3,704,502 1,852,251 5,556,754 2,778,377 8,335,132 4,167,566 2,083,783 6,251,350 3,125,675 9,377,026 4,688,513 14,065,540 7,032,770 3,516,385 10,549,156 5,274,578 2,637,289 7,911,868 3,955,934 1,977,967 5,933,902 2,966,951 8,900,854 4,450,427 13,351,282 6,675,641 20,026,924 10,013,462 5,006,731 15,020,194 7,510,097 22,530,292 11,265,146 5,632,573 16,897,720 8,448,860 4,224,430 2,112,215 6,336,646 3,168,323 9,504,970 4,752,485 14,257,456 7,128,728 3,564,364 1,782,182 891,091 2,673,274 1,336,637 4,009,912 2,004,956 1,002,478 501,239 1,503,718 751,859 2,255,578 1,127,789 3,383,368 1,691,684

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