24,070,720

2⁶ × 5 × 19 × 37 × 107

24,070,720 factors as 2^6 × 5 × 19 × 37 × 107. Its 112 positive divisors give a proper-divisor sum of 38,474,240, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 19 × 37 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 62,544,960

Proper Divisor Sum 38,474,240

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #24070703 ← → #24070723

Radix Representation

Decimal	24070720
Binary	1011011110100101001000000 (25 bits)
Octal	0o133645100
Hexadecimal	0x16F4A40

Divisor Catalog (60 of 112)

1 2 4 5 8 10 16 19 20 32 37 38 40 64 74 76 80 95 107 148 152 160 185 190 214 296 304 320 370 380 428 535 592 608 703 740 760 856 1,070 1,184 1,216 1,406 1,480 1,520 1,712 2,033 2,140 2,368 2,812 2,960 3,040 3,424 3,515 3,959 4,066 4,280 5,624 5,920 6,080 6,848

Collatz Trajectory (141 steps to reach 1)

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

24,070,720 12,035,360 6,017,680 3,008,840 1,504,420 752,210 376,105 1,128,316 564,158 282,079 846,238 423,119 1,269,358 634,679 1,904,038 952,019 2,856,058 1,428,029 4,284,088 2,142,044 1,071,022 535,511 1,606,534 803,267 2,409,802 1,204,901 3,614,704 1,807,352 903,676 451,838 225,919 677,758 338,879 1,016,638 508,319 1,524,958 762,479 2,287,438 1,143,719 3,431,158 1,715,579 5,146,738 2,573,369 7,720,108 3,860,054 1,930,027 5,790,082 2,895,041 8,685,124 4,342,562 2,171,281 6,513,844 3,256,922 1,628,461 4,885,384 2,442,692 1,221,346 610,673 1,832,020 916,010

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