4,561,360

2⁴ × 5 × 23 × 37 × 67

4,561,360 factors as 2^4 × 5 × 23 × 37 × 67. Its 80 positive divisors give a proper-divisor sum of 6,973,616, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 23 × 37 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 11,534,976

Proper Divisor Sum 6,973,616

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4561351 ← → #4561363

Radix Representation

Decimal	4561360
Binary	10001011001100111010000 (23 bits)
Octal	0o21314720
Hexadecimal	0x4599D0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 23 37 40 46 67 74 80 92 115 134 148 184 185 230 268 296 335 368 370 460 536 592 670 740 851 920 1,072 1,340 1,480 1,541 1,702 1,840 2,479 2,680 2,960 3,082 3,404 4,255 4,958 5,360 6,164 6,808 7,705 8,510 9,916 12,328 12,395 13,616 15,410 17,020 19,832 24,656

Collatz Trajectory (131 steps to reach 1)

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

4,561,360 2,280,680 1,140,340 570,170 285,085 855,256 427,628 213,814 106,907 320,722 160,361 481,084 240,542 120,271 360,814 180,407 541,222 270,611 811,834 405,917 1,217,752 608,876 304,438 152,219 456,658 228,329 684,988 342,494 171,247 513,742 256,871 770,614 385,307 1,155,922 577,961 1,733,884 866,942 433,471 1,300,414 650,207 1,950,622 975,311 2,925,934 1,462,967 4,388,902 2,194,451 6,583,354 3,291,677 9,875,032 4,937,516 2,468,758 1,234,379 3,703,138 1,851,569 5,554,708 2,777,354 1,388,677 4,166,032 2,083,016 1,041,508

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