8,748,144

2⁴ × 3² × 79 × 769

Starting at 8,748,144, the Collatz iteration reaches 1 after 181 steps. The first transition is 4374072; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 79 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 24,824,800

Proper Divisor Sum 16,076,656

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8748143 ← → #8748161

Radix Representation

Decimal	8748144
Binary	100001010111110001110000 (24 bits)
Octal	0o41276160
Hexadecimal	0x857C70

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 769 948 1,264 1,422 1,538 1,896 2,307 2,844 3,076 3,792 4,614 5,688 6,152 6,921 9,228 11,376 12,304 13,842 18,456 27,684 36,912 55,368 60,751 110,736 121,502 182,253 243,004 364,506 486,008 546,759 729,012 972,016 1,093,518 1,458,024 2,187,036 2,916,048 4,374,072 8,748,144

Collatz Trajectory (181 steps to reach 1)

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

8,748,144 4,374,072 2,187,036 1,093,518 546,759 1,640,278 820,139 2,460,418 1,230,209 3,690,628 1,845,314 922,657 2,767,972 1,383,986 691,993 2,075,980 1,037,990 518,995 1,556,986 778,493 2,335,480 1,167,740 583,870 291,935 875,806 437,903 1,313,710 656,855 1,970,566 985,283 2,955,850 1,477,925 4,433,776 2,216,888 1,108,444 554,222 277,111 831,334 415,667 1,247,002 623,501 1,870,504 935,252 467,626 233,813 701,440 350,720 175,360 87,680 43,840 21,920 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257

← Previous Integer #8,748,143 Browse Full Index Next Integer #8,748,145 →