744,952

2³ × 13² × 19 × 29

744,952 has digital root 4. The neighboring primes are 744949 and 744959; its proper-divisor sum differs from the starting integer by 157,096.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 19 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,647,000

Proper Divisor Sum 902,048

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #744949 ← → #744959

Radix Representation

Decimal	744952
Binary	10110101110111111000 (20 bits)
Octal	0o2656770
Hexadecimal	0xB5DF8

Divisor Catalog (48)

1 2 4 8 13 19 26 29 38 52 58 76 104 116 152 169 232 247 338 377 494 551 676 754 988 1,102 1,352 1,508 1,976 2,204 3,016 3,211 4,408 4,901 6,422 7,163 9,802 12,844 14,326 19,604 25,688 28,652 39,208 57,304 93,119 186,238 372,476 744,952

Collatz Trajectory (224 steps to reach 1)

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

744,952 372,476 186,238 93,119 279,358 139,679 419,038 209,519 628,558 314,279 942,838 471,419 1,414,258 707,129 2,121,388 1,060,694 530,347 1,591,042 795,521 2,386,564 1,193,282 596,641 1,789,924 894,962 447,481 1,342,444 671,222 335,611 1,006,834 503,417 1,510,252 755,126 377,563 1,132,690 566,345 1,699,036 849,518 424,759 1,274,278 637,139 1,911,418 955,709 2,867,128 1,433,564 716,782 358,391 1,075,174 537,587 1,612,762 806,381 2,419,144 1,209,572 604,786 302,393 907,180 453,590 226,795 680,386 340,193 1,020,580

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