7,369,376

2⁵ × 7 × 167 × 197

For 7,369,376, the 48 positive divisors have a total of 16,765,056. Removing 7,369,376 leaves 9,395,680, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 7 × 167 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,765,056

Proper Divisor Sum 9,395,680

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7369339 ← → #7369387

Radix Representation

Decimal	7369376
Binary	11100000111001010100000 (23 bits)
Octal	0o34071240
Hexadecimal	0x7072A0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 167 197 224 334 394 668 788 1,169 1,336 1,379 1,576 2,338 2,672 2,758 3,152 4,676 5,344 5,516 6,304 9,352 11,032 18,704 22,064 32,899 37,408 44,128 65,798 131,596 230,293 263,192 460,586 526,384 921,172 1,052,768 1,842,344 3,684,688 7,369,376

Collatz Trajectory (80 steps to reach 1)

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

7,369,376 3,684,688 1,842,344 921,172 460,586 230,293 690,880 345,440 172,720 86,360 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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