1,149,680

2⁴ × 5 × 7 × 2053

Starting at 1,149,680, the Collatz iteration reaches 1 after 222 steps. The first transition is 574840; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,056,352

Proper Divisor Sum 1,906,672

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1149679 ← → #1149689

Radix Representation

Decimal	1149680
Binary	100011000101011110000 (21 bits)
Octal	0o4305360
Hexadecimal	0x118AF0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2,053 4,106 8,212 10,265 14,371 16,424 20,530 28,742 32,848 41,060 57,484 71,855 82,120 114,968 143,710 164,240 229,936 287,420 574,840 1,149,680

Collatz Trajectory (222 steps to reach 1)

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

1,149,680 574,840 287,420 143,710 71,855 215,566 107,783 323,350 161,675 485,026 242,513 727,540 363,770 181,885 545,656 272,828 136,414 68,207 204,622 102,311 306,934 153,467 460,402 230,201 690,604 345,302 172,651 517,954 258,977 776,932 388,466 194,233 582,700 291,350 145,675 437,026 218,513 655,540 327,770 163,885 491,656 245,828 122,914 61,457 184,372 92,186 46,093 138,280 69,140 34,570 17,285 51,856 25,928 12,964 6,482 3,241 9,724 4,862 2,431 7,294

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