4,397,680

2⁴ × 5 × 7 × 7853

Starting at 4,397,680, the Collatz iteration reaches 1 after 180 steps. The first transition is 2198840; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 7853

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,686,752

Proper Divisor Sum 7,289,072

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4397677 ← → #4397681

Radix Representation

Decimal	4397680
Binary	10000110001101001110000 (23 bits)
Octal	0o20615160
Hexadecimal	0x431A70

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7,853 15,706 31,412 39,265 54,971 62,824 78,530 109,942 125,648 157,060 219,884 274,855 314,120 439,768 549,710 628,240 879,536 1,099,420 2,198,840 4,397,680

Collatz Trajectory (180 steps to reach 1)

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

4,397,680 2,198,840 1,099,420 549,710 274,855 824,566 412,283 1,236,850 618,425 1,855,276 927,638 463,819 1,391,458 695,729 2,087,188 1,043,594 521,797 1,565,392 782,696 391,348 195,674 97,837 293,512 146,756 73,378 36,689 110,068 55,034 27,517 82,552 41,276 20,638 10,319 30,958 15,479 46,438 23,219 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776

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