73,960,208

2⁴ × 7² × 29 × 3253

73,960,208 factors as 2^4 × 7^2 × 29 × 3253. Its 60 positive divisors give a proper-divisor sum of 98,534,332, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 29 × 3253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 172,494,540

Proper Divisor Sum 98,534,332

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #73960199 ← → #73960213

Radix Representation

Decimal	73960208
Binary	100011010001000101100010000 (27 bits)
Octal	0o432105420
Hexadecimal	0x4688B10

Divisor Catalog (60)

1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1,421 1,624 2,842 3,248 3,253 5,684 6,506 11,368 13,012 22,736 22,771 26,024 45,542 52,048 91,084 94,337 159,397 182,168 188,674 318,794 364,336 377,348 637,588 660,359 754,696 1,275,176 1,320,718 1,509,392 2,550,352 2,641,436 4,622,513 5,282,872 9,245,026 10,565,744 18,490,052 36,980,104 73,960,208

Collatz Trajectory (135 steps to reach 1)

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

73,960,208 36,980,104 18,490,052 9,245,026 4,622,513 13,867,540 6,933,770 3,466,885 10,400,656 5,200,328 2,600,164 1,300,082 650,041 1,950,124 975,062 487,531 1,462,594 731,297 2,193,892 1,096,946 548,473 1,645,420 822,710 411,355 1,234,066 617,033 1,851,100 925,550 462,775 1,388,326 694,163 2,082,490 1,041,245 3,123,736 1,561,868 780,934 390,467 1,171,402 585,701 1,757,104 878,552 439,276 219,638 109,819 329,458 164,729 494,188 247,094 123,547 370,642 185,321 555,964 277,982 138,991 416,974 208,487 625,462 312,731 938,194 469,097

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