750,048

2⁵ × 3 × 13 × 601

750,048 has digital root 6. The neighboring primes are 750037 and 750059; its proper-divisor sum differs from the starting integer by 623,760.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,123,856

Proper Divisor Sum 1,373,808

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #750037 ← → #750059

Radix Representation

Decimal	750048
Binary	10110111000111100000 (20 bits)
Octal	0o2670740
Hexadecimal	0xB71E0

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 601 624 1,202 1,248 1,803 2,404 3,606 4,808 7,212 7,813 9,616 14,424 15,626 19,232 23,439 28,848 31,252 46,878 57,696 62,504 93,756 125,008 187,512 250,016 375,024 750,048

Collatz Trajectory (149 steps to reach 1)

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

750,048 375,024 187,512 93,756 46,878 23,439 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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