1,147,752

2³ × 3² × 19 × 839

Starting at 1,147,752, the Collatz iteration reaches 1 after 178 steps. The first transition is 573876; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,276,000

Proper Divisor Sum 2,128,248

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1147739 ← → #1147759

Radix Representation

Decimal	1147752
Binary	100011000001101101000 (21 bits)
Octal	0o4301550
Hexadecimal	0x118368

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 839 1,368 1,678 2,517 3,356 5,034 6,712 7,551 10,068 15,102 15,941 20,136 30,204 31,882 47,823 60,408 63,764 95,646 127,528 143,469 191,292 286,938 382,584 573,876 1,147,752

Collatz Trajectory (178 steps to reach 1)

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

1,147,752 573,876 286,938 143,469 430,408 215,204 107,602 53,801 161,404 80,702 40,351 121,054 60,527 181,582 90,791 272,374 136,187 408,562 204,281 612,844 306,422 153,211 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636 387,818 193,909 581,728 290,864 145,432 72,716 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283

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